Math Logic Puzzle Worksheets - Free Printable

Let’s solve this logic puzzle step by step. We have 4 people: Carmen, Eliana, Holly, Sergio.
They are in a line — positions: first, third, seventh, eighth (note: no second, fourth, fifth, sixth — just those four spots).
Each person has:
- A vacation home on one island: Antigua, Grenada, Jamaica, Saint Martin.
- A favorite football team: Bears, Cowboys, Jets, Patriots.

We’ll use the clues to fill in a grid or table mentally (or on paper) and deduce who is where, with what island and team.

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Clue 1: The person with the vacation home on the island of Antigua is not Eliana or Sergio.
→ So Antigua = Carmen or Holly.

Clue 2: The Cowboys fan is not Eliana or Carmen.
→ Cowboys = Holly or Sergio.

Clue 3: The one who is eighth in line owns vacation property on the island of Antigua.
→ Eighth position → Antigua.
From Clue 1: Antigua ≠ Eliana, Sergio → so eighth = Carmen or Holly.
But now we know: Eighth = Antigua, and from Clue 1, that person is Carmen or Holly.

Clue 4: The one who is third in line is Holly.
→ Third = Holly.

So now we know:
Position 3: Holly

From Clue 3: Position 8 = Antigua → and since Holly is in position 3, she can’t be in 8 → so position 8 must be Carmen (since Antigua = Carmen or Holly, and Holly is taken).

So:
Position 8: Carmen → Island: Antigua

Now update:

Positions:
- 3: Holly
- 8: Carmen (Antigua)

Remaining positions: first, seventh → for Eliana and Sergio.

Remaining islands: Grenada, Jamaica, Saint Martin (Antigua taken by Carmen)

Remaining teams: Bears, Cowboys, Jets, Patriots (none assigned yet)

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Clue 5: The person with the vacation home on the island of Saint Martin is not Holly or Carmen.
→ Saint Martin ≠ Holly, Carmen → so Saint Martin = Eliana or Sergio.

Clue 6: The Jets fan is farther down the line than Holly.
Holly is in position 3 → “farther down” means higher number → so Jets fan is in position 7 or 8.
But position 8 is Carmen → so Jets could be Carmen (pos 8) or whoever is in pos 7.

Clue 7: Either the Cowboys fan or the Jets fan is Sergio.
→ Sergio = Cowboys OR Jets.

From Clue 2: Cowboys = Holly or Sergio → but Holly is in pos 3, and we don’t know her team yet.

Wait — let’s list what we have:

People:
- Pos 3: Holly
- Pos 8: Carmen (Antigua)
- Pos ? : Eliana
- Pos ? : Sergio

Positions left: 1st and 7th → assign to Eliana and Sergio.

Islands left: Grenada, Jamaica, Saint Martin (Carmen has Antigua)

Teams left: all four unassigned.

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Clue 8: The Bears fan is not Carmen and doesn't own property on the island of Saint Martin.
→ Bears ≠ Carmen → ok, Carmen is pos 8, so Bears is someone else.
Also, Bears fan does NOT have Saint Martin → so if someone has Saint Martin, they’re not Bears.

Clue 9: The person with the vacation home on the island of Saint Martin is closer to the front of the line than the person with the vacation home on the island of Jamaica.
→ Saint Martin position < Jamaica position.

Possible positions: 1, 3, 7, 8.

Saint Martin must be before Jamaica.

Saint Martin = Eliana or Sergio (from Clue 5).

Jamaica = whoever is left after assigning others.

Clue 10: Of the Jets fan and Carmen, one is seventh in line and the other owns vacation property on the island of Antigua.
Carmen owns Antigua (we already know that — from Clue 3 and 1).
So “the other” (Jets fan) must be seventh in line.

Because: One is seventh, the other has Antigua → Carmen has Antigua → so Jets fan is seventh.

So:
→ Seventh position = Jets fan.

And from Clue 6: Jets fan is farther down than Holly (pos 3) → yes, 7 > 3 → fits.

So:
Position 7: Jets fan.

Who is in position 7? Not Carmen (she’s 8), not Holly (3) → so either Eliana or Sergio.

So position 7 = Eliana or Sergio → and they are Jets fan.

From Clue 7: Either Cowboys or Jets fan is Sergio → so if position 7 is Jets, then it could be Sergio.

Let’s assume position 7 = Sergio → then he is Jets fan.

Then position 1 = Eliana.

Check if that works.

So far:

Pos 1: Eliana
Pos 3: Holly
Pos 7: Sergio (Jets)
Pos 8: Carmen (Antigua)

Now assign islands.

Islands left: Grenada, Jamaica, Saint Martin (Carmen has Antigua)

Clue 5: Saint Martin ≠ Holly, Carmen → so Saint Martin = Eliana or Sergio.

Clue 9: Saint Martin position < Jamaica position.

If Saint Martin is Eliana (pos 1), then Jamaica must be in 3, 7, or 8 → but 8 is Antigua, so Jamaica = 3 or 7.

If Saint Martin is Sergio (pos 7), then Jamaica must be after 7 → only pos 8 → but pos 8 is Antigua → impossible.

So Saint Martin cannot be Sergio → must be Eliana (pos 1).

So:

Pos 1: Eliana → Saint Martin

Then Jamaica must be after pos 1 → possible positions: 3, 7, 8 → but 8 is Antigua → so Jamaica = 3 or 7.

Now, Clue 9: Saint Martin (pos 1) < Jamaica → so Jamaica can be 3 or 7.

Now, remaining islands: Grenada and Jamaica → for Holly (pos 3) and Sergio (pos 7).

Also, Clue 8: Bears fan ≠ Carmen and ≠ Saint Martin owner → Saint Martin owner is Eliana → so Bears ≠ Eliana.

So Bears fan is not Carmen, not Eliana → so Bears = Holly or Sergio.

Now teams:

We have:

Pos 7: Sergio → Jets (from earlier deduction)

So Sergio = Jets.

Then from Clue 7: Either Cowboys or Jets is Sergio → yes, Jets is Sergio → satisfied.

Clue 2: Cowboys fan ≠ Eliana or Carmen → so Cowboys = Holly or Sergio → but Sergio is Jets → so Cowboys = Holly.

So Holly (pos 3) = Cowboys.

Now teams left: Bears and Patriots → for Eliana and Carmen.

But Clue 8: Bears fan ≠ Saint Martin owner → Saint Martin owner is Eliana → so Eliana ≠ Bears → so Eliana = Patriots.

Then Carmen = Bears? But Clue 8 says Bears fan ≠ Carmen → contradiction!

Oh no! Problem.

Carmen cannot be Bears (Clue 8), Eliana cannot be Bears (because she has Saint Martin, and Clue 8 says Bears fan doesn’t own Saint Martin), Holly is Cowboys, Sergio is Jets → so who is Bears?

No one left! Contradiction.

So our assumption must be wrong.

Where did we go wrong?

We assumed position 7 = Sergio → Jets.

But maybe position 7 = Eliana → Jets.

Let’s try that.

Backtrack.

We had:

Pos 3: Holly
Pos 8: Carmen (Antigua)
Positions left: 1 and 7 → for Eliana and Sergio.

Clue 10: Jets fan is seventh (because Carmen has Antigua, so the other — Jets — is seventh).

So position 7 = Jets fan → could be Eliana or Sergio.

Previously we tried Sergio → led to contradiction.

Try Eliana in position 7 → Jets.

Then position 1 = Sergio.

So:

Pos 1: Sergio
Pos 3: Holly
Pos 7: Eliana (Jets)
Pos 8: Carmen (Antigua)

Now assign islands.

Clue 5: Saint Martin ≠ Holly, Carmen → so Saint Martin = Sergio or Eliana.

Clue 9: Saint Martin position < Jamaica position.

If Saint Martin = Sergio (pos 1), then Jamaica must be in 3,7,8 → 8 is Antigua → so Jamaica = 3 or 7.

If Saint Martin = Eliana (pos 7), then Jamaica must be after 7 → only 8 → but 8 is Antigua → impossible.

So Saint Martin must be Sergio (pos 1).

So:

Pos 1: Sergio → Saint Martin

Then Jamaica must be in pos 3 or 7 (since 8 is Antigua).

Remaining islands: Grenada and Jamaica → for Holly (3) and Eliana (7).

Now teams.

Clue 7: Either Cowboys or Jets fan is Sergio.

Sergo is in pos 1 → we don’t know his team yet.

Jets fan is Eliana (pos 7) → so Jets = Eliana.

Then Clue 7: Sergio must be Cowboys fan (since Jets is Eliana, not Sergio).

So Sergio = Cowboys.

Clue 2: Cowboys fan ≠ Eliana or Carmen → Sergio is Cowboys → ok, not Eliana or Carmen.

Good.

Now teams left: Bears and Patriots → for Holly and Carmen.

Clue 8: Bears fan ≠ Carmen and ≠ Saint Martin owner.

Saint Martin owner is Sergio → so Bears ≠ Sergio → already known.

Bears ≠ Carmen → so Bears must be Holly.

Then Carmen = Patriots.

Check Clue 8: Bears fan (Holly) does not own Saint Martin → Holly owns ? We haven’t assigned her island yet.

Islands:

Sergo: Saint Martin
Carmen: Antigua
Left: Grenada, Jamaica → for Holly and Eliana.

Clue 9: Saint Martin (pos 1) < Jamaica → so Jamaica must be in pos 3 or 7.

Say Jamaica = Holly (pos 3) → then Grenada = Eliana (pos 7)

Or Jamaica = Eliana (pos 7) → then Grenada = Holly (pos 3)

Both satisfy Saint Martin (1) < Jamaica (3 or 7).

Now check Clue 6: Jets fan is farther down than Holly.

Jets fan = Eliana (pos 7) → Holly is pos 3 → 7 > 3 → yes.

Clue 1: Antigua ≠ Eliana or Sergio → Carmen has Antigua → ok.

Clue 3: Eighth = Antigua → Carmen → ok.

Clue 4: Third = Holly → ok.

Clue 5: Saint Martin ≠ Holly or Carmen → Sergio has it → ok.

Clue 6: Jets (Eliana, pos 7) > Holly (3) → ok.

Clue 7: Cowboys or Jets is Sergio → Sergio is Cowboys → ok.

Clue 8: Bears fan ≠ Carmen and ≠ Saint Martin → Bears = Holly, Saint Martin = Sergio → different → ok.

Clue 9: Saint Martin (1) < Jamaica → we need to assign Jamaica to someone after 1.

If we put Jamaica with Holly (pos 3), then Grenada with Eliana (7) → 1<3 → ok.

If Jamaica with Eliana (7), Grenada with Holly (3) → 1<7 → also ok.

But we have another clue?

Clue 10: Of Jets fan and Carmen, one is seventh and other has Antigua → Jets fan is Eliana (7), Carmen has Antigua → perfect.

Now, is there any clue that forces which island is where between Holly and Eliana?

Not directly. But let’s see if both work.

Actually, we might have missed something.

Clue 9: Saint Martin is closer to front than Jamaica → as long as Jamaica is not in pos 1, it’s fine. Both options work.

But perhaps we can look at the teams and see if anything conflicts.

We have:

Pos 1: Sergio → Saint Martin, Cowboys
Pos 3: Holly → ? , Bears
Pos 7: Eliana → ? , Jets
Pos 8: Carmen → Antigua, Patriots

Islands left: Grenada, Jamaica.

Suppose we assign Jamaica to Holly (pos 3), Grenada to Eliana (7).

Then:

Holly: Jamaica, Bears
Eliana: Grenada, Jets

Check Clue 9: Saint Martin (1) < Jamaica (3) → yes.

All clues seem satisfied.

Alternatively, if Jamaica to Eliana (7), Grenada to Holly (3):

Holly: Grenada, Bears
Eliana: Jamaica, Jets

Clue 9: Saint Martin (1) < Jamaica (7) → still yes.

Is there a clue that distinguishes?

Look back at Clue 1: Antigua ≠ Eliana or Sergio → ok.

Clue 5: Saint Martin ≠ Holly or Carmen → ok.

No other clue mentions Grenada or specifies further.

But wait — Clue 9 says "closer to the front" — both are valid, but perhaps we need to see if there's an implicit constraint.

Actually, in logic puzzles, usually all clues are used, and sometimes the assignment is unique.

Perhaps I missed a clue.

Another thought: Clue 8 says "the Bears fan ... doesn't own property on the island of Saint Martin" — which we have, Bears is Holly, Saint Martin is Sergio — different, so ok.

But no issue.

However, let’s check the initial grid or see if the puzzle expects a specific answer.

Perhaps we can look at the order.

There’s another way: let’s list all assignments.

Case 1:
- Pos 1: Sergio, Saint Martin, Cowboys
- Pos 3: Holly, Jamaica, Bears
- Pos 7: Eliana, Grenada, Jets
- Pos 8: Carmen, Antigua, Patriots

Case 2:
- Pos 1: Sergio, Saint Martin, Cowboys
- Pos 3: Holly, Grenada, Bears
- Pos 7: Eliana, Jamaica, Jets
- Pos 8: Carmen, Antigua, Patriots

Now, is there a clue that eliminates one?

Clue 9: Saint Martin closer to front than Jamaica — in case 1, Jamaica is pos 3; in case 2, Jamaica is pos 7 — both are after 1, so both ok.

But perhaps "closer to the front" implies immediately or something? No, it just means lower number.

Maybe we need to see if there's a conflict with teams or something else.

Another clue: Clue 6 — Jets fan farther down than Holly — in both cases, Jets is pos 7, Holly pos 3 — ok.

Perhaps both are valid, but that can't be for a logic puzzle.

I think I made a mistake earlier.

Let’s go back to Clue 10: "Of the Jets fan and Carmen, one is seventh in line and the other owns vacation property on the island of Antigua."

We interpreted as: since Carmen owns Antigua, then Jets fan is seventh.

But it could be that Jets fan owns Antigua, and Carmen is seventh? But no, because from Clue 3, eighth owns Antigua, and Carmen is eighth, so Carmen owns Antigua, so Jets fan cannot own Antigua.

So our interpretation is correct.

Perhaps the issue is with Clue 8 and the Bears fan.

In both cases, Bears is Holly, who has either Jamaica or Grenada, not Saint Martin — ok.

But let’s read Clue 8 again: "The Bears fan is not Carmen and doesn't own property on the island of Saint Martin."

It doesn't say anything about other islands, so both are fine.

Perhaps the puzzle has two solutions, but that's unlikely.

Another idea: perhaps "farther down the line" in Clue 6 means strictly greater, which it is, but maybe for Clue 9, "closer to the front" might imply that Jamaica is not in the same position, but it's not.

Let’s list the clues again and see if we missed one.

Clue 1: Antigua not Eliana or Sergio — ok.

Clue 2: Cowboys not Eliana or Carmen — Sergio is Cowboys — ok.

Clue 3: eighth = Antigua — Carmen — ok.

Clue 4: third = Holly — ok.

Clue 5: Saint Martin not Holly or Carmen — Sergio — ok.

Clue 6: Jets fan > Holly — 7>3 — ok.

Clue 7: Cowboys or Jets is Sergio — Sergio is Cowboys — ok.

Clue 8: Bears not Carmen and not Saint Martin owner — Bears is Holly, Saint Martin is Sergio — ok.

Clue 9: Saint Martin position < Jamaica position — in case 1: 1<3, in case 2: 1<7 — both true.

Clue 10: Jets fan and Carmen: one is seventh, other has Antigua — Jets is seventh, Carmen has Antigua — ok.

So both cases seem valid. But that can't be.

Unless... in Clue 9, "closer to the front" might be interpreted as adjacent or something, but no, it's standard to mean lower number.

Perhaps I have a mistake in the position assignment.

Another thought: when I said position 7 = Jets fan, and I assigned Eliana to 7, but is there a clue that says who is in 7?

Let’s try to use the grid method mentally.

Let me make a table.

Positions: 1,3,7,8

Names:
- 3: Holly (clue 4)
- 8: ? but from clue 3, 8 = Antigua, and clue 1, Antigua not Eliana or Sergio, so 8 = Carmen or Holly, but Holly is 3, so 8 = Carmen.

So 8: Carmen, Antigua

Then 1 and 7: Eliana and Sergio.

Clue 10: Jets fan and Carmen: one is seventh, other has Antigua. Carmen has Antigua, so Jets fan is seventh.

So 7: Jets fan.

So 7: either Eliana or Sergio, and they are Jets fan.

Clue 7: Either Cowboys or Jets fan is Sergio.

If 7 is Sergio, then he is Jets fan, so clue 7 satisfied.

If 7 is Eliana, then she is Jets fan, so Sergio must be Cowboys fan (from clue 7).

Now, clue 2: Cowboys fan not Eliana or Carmen, so if Sergio is Cowboys, ok.

Now, clue 6: Jets fan > Holly (3) — 7>3, ok.

Now, clue 5: Saint Martin not Holly or Carmen, so Saint Martin = Eliana or Sergio.

Clue 9: Saint Martin position < Jamaica position.

Also, clue 8: Bears fan not Carmen and not Saint Martin owner.

Now, let's consider the two cases.

First case: 7 = Sergio, Jets fan.

Then 1 = Eliana.

Then from clue 7, Sergio is Jets, so ok.

Clue 2: Cowboys not Eliana or Carmen, so Cowboys = Holly or Sergio, but Sergio is Jets, so Cowboys = Holly.

So Holly = Cowboys.

Then teams left: Bears, Patriots for Eliana and Carmen.

Clue 8: Bears not Carmen and not Saint Martin owner.

Saint Martin = Eliana or Sergio.

If Saint Martin = Eliana (1), then Bears not Eliana, so Bears = ? Only Holly and Sergio left for teams, but Holly is Cowboys, Sergio is Jets, so Bears must be Eliana or Carmen, but Bears not Carmen, and if Saint Martin is Eliana, Bears not Eliana, so no one for Bears — contradiction.

If Saint Martin = Sergio (7), then Bears not Sergio, and not Carmen, so Bears = Eliana or Holly.

Holly is Cowboys, so Bears = Eliana.

But clue 8: Bears fan does not own Saint Martin — if Eliana is Bears, and Saint Martin is Sergio, then ok, different people.

So let's try that.

So case 1: 7 = Sergio, Jets fan.

1 = Eliana.

Holly = Cowboys (as above).

Saint Martin = Sergio (7) — because if Eliana has Saint Martin, then Bears has no one.

So Saint Martin = Sergio (7).

Then Bears = Eliana (1) — since not Carmen, and not Saint Martin owner (Sergio has Saint Martin, Eliana has Bears, different).

Then Carmen = Patriots.

Now islands: Carmen has Antigua (8), Sergio has Saint Martin (7), so left: Grenada, Jamaica for Eliana (1) and Holly (3).

Clue 9: Saint Martin position < Jamaica position.

Saint Martin is 7, so Jamaica must be >7, only 8, but 8 is Antigua — impossible.

Contradiction.

So case 1 is invalid.

Therefore, only case 2 is possible: 7 = Eliana, Jets fan.

1 = Sergio.

Then Sergio = Cowboys (from clue 7, since Jets is Eliana).

Holly = ? teams left.

Teams: Sergio = Cowboys, Eliana = Jets, so left Bears, Patriots for Holly and Carmen.

Clue 8: Bears not Carmen and not Saint Martin owner.

Saint Martin = Sergio or Eliana (clue 5).

If Saint Martin = Eliana (7), then Bears not Eliana, and not Carmen, so Bears = Holly.

Then Carmen = Patriots.

Islands: Carmen = Antigua (8), Eliana = Saint Martin (7)? But clue 5: Saint Martin not Holly or Carmen — Eliana is not Holly or Carmen, so ok.

But clue 9: Saint Martin position < Jamaica position.

Saint Martin = 7, so Jamaica >7, only 8, but 8 is Antigua — impossible.

Same problem.

If Saint Martin = Sergio (1), then Bears not Sergio, not Carmen, so Bears = Holly.

Carmen = Patriots.

Islands: Sergio = Saint Martin (1), Carmen = Antigua (8), so left Grenada, Jamaica for Holly (3) and Eliana (7).

Clue 9: Saint Martin (1) < Jamaica, so Jamaica = 3 or 7.

Both possible.

Now, no contradiction.

But earlier I thought both assignments work, but perhaps in the context, we need to choose one.

Perhaps there's a clue I missed.

Let's read Clue 9 again: "The person with the vacation home on the island of Saint Martin is closer to the front of the line than the person with the vacation home on the island of Jamaica."

"Closer to the front" means smaller position number.

So if Saint Martin is 1, Jamaica can be 3 or 7.

But perhaps "closer" implies that it is nearer, but in logic puzzles, it's usually just less than.

Maybe the puzzle has a unique solution, so perhaps we can look at the answer format.

Another idea: perhaps "farther down the line" in Clue 6 means that Jets fan is after Holly, which it is, but maybe for Clue 9, if Jamaica is in 3, it is closer to Saint Martin than if in 7, but the clue doesn't say that.

Perhaps we can use the fact that in the grid, there might be only one way.

Let's list the full assignment for case 2 with Saint Martin = Sergio (1), and say Jamaica = Holly (3), Grenada = Eliana (7).

So:

- Pos 1: Sergio, Saint Martin, Cowboys
- Pos 3: Holly, Jamaica, Bears
- Pos 7: Eliana, Grenada, Jets
- Pos 8: Carmen, Antigua, Patriots

Check all clues:

1. Antigua not Eliana or Sergio — Carmen has it — ok.
2. Cowboys not Eliana or Carmen — Sergio has it — ok.
3. Eighth = Antigua — Carmen — ok.
4. Third = Holly — ok.
5. Saint Martin not Holly or Carmen — Sergio has it — ok.
6. Jets fan (Eliana,7) > Holly (3) — ok.
7. Cowboys or Jets is Sergio — Sergio is Cowboys — ok.
8. Bears fan (Holly) not Carmen and not Saint Martin owner (Sergio) — ok.
9. Saint Martin (1) < Jamaica (3) — ok.
10. Jets fan (7) and Carmen (8): one is seventh, other has Antigua — ok.

Now, if we swap Jamaica and Grenada:

- Pos 1: Sergio, Saint Martin, Cowboys
- Pos 3: Holly, Grenada, Bears
- Pos 7: Eliana, Jamaica, Jets
- Pos 8: Carmen, Antigua, Patriots

Clue 9: Saint Martin (1) < Jamaica (7) — still ok.

All other clues same.

So both seem valid.

But perhaps in the context of the puzzle, "closer to the front" might be interpreted as the smallest possible difference, but that's not standard.

Maybe I have a mistake in the position numbers.

Another thought: the positions are first, third, seventh, eighth — so the line is not consecutive, but the "line" refers to the order given: first, then third, then seventh, then eighth — so position 1 is first, 3 is third, etc., and "farther down" means later in this sequence.

So position 1 < 3 < 7 < 8 in terms of order.

So for Clue 9, Saint Martin position < Jamaica position in this ordering.

In both cases, it's satisfied.

Perhaps the puzzle allows both, but typically logic puzzles have unique solutions.

Let's look back at Clue 10: "Of the Jets fan and Carmen, one is seventh in line and the other owns vacation property on the island of Antigua."

In our assignment, Jets fan is seventh, Carmen owns Antigua — good.

But is there a clue that involves Grenada or something else?

Perhaps from the way the clues are written, but I think both are mathematically valid.

However, let's see the initial request: "solve the problem accurately" — perhaps we need to output the grid.

Maybe in the context, we can choose one, but that's not satisfactory.

Another idea: in Clue 8, "doesn't own property on the island of Saint Martin" — which is satisfied, but perhaps for the Bears fan, if they own Jamaica or Grenada, no issue.

Perhaps the puzzle has a typo, but unlikely.

Let's try to see if there's a constraint from the football teams or islands that I missed.

List all attributes.

Perhaps use the fact that in the grid, for the "Orders" row, we have to fill first, third, seventh, eighth with names, islands, teams.

But still.

Let's assume that "closer to the front" means that the position number is smaller, and since 3 is closer to 1 than 7 is, but the clue doesn't specify how much closer, so both should be acceptable.

But to resolve, perhaps we can look for which one makes sense with other clues.

There's Clue 6: "The Jets fan is farther down the line than Holly." — which is satisfied in both.

Perhaps no other clue, so both are valid, but for the sake of the puzzle, maybe the intended solution is with Jamaica in position 3.

Or perhaps I can check online, but since I can't, I'll go with one.

Let's see the answer format.

Perhaps in the final answer, we need to list for each position.

Another thought: in Clue 9, "closer to the front" might imply that it is before, and perhaps in the context, if Jamaica is in 7, it is very far, but still valid.

But let's calculate the difference: in case 1, |1-3|=2, in case 2, |1-7|=6, but the clue doesn't care.

Perhaps the puzzle is from a source where only one is intended.

I recall that in some logic puzzles, if there are two possibilities, you might have missed a clue.

Let's read Clue 1 again: "The person with the vacation home on the island of Antigua is not Eliana or Sergio." — we have Carmen.

Clue 2: "The Cowboys fan is not Eliana or Carmen." — we have Sergio.

Clue 3: "The one who is eighth in line owns vacation property on the island of Antigua." — Carmen.

Clue 4: "The one who is third in line is Holly." — ok.

Clue 5: "The person with the vacation home on the island of Saint Martin is not Holly or Carmen." — Sergio.

Clue 6: "The Jets fan is farther down the line than Holly." — Eliana in 7 > Holly in 3.

Clue 7: "Either the Cowboys fan or the Jets fan is Sergio." — Sergio is Cowboys.

Clue 8: "The Bears fan is not Carmen and doesn't own property on the island of Saint Martin." — Holly is Bears, Sergio has Saint Martin — different.

Clue 9: "The person with the vacation home on the island of Saint Martin is closer to the front of the line than the person with the vacation home on the island of Jamaica." — 1 < 3 or 1 < 7.

Clue 10: "Of the Jets fan and Carmen, one is seventh in line and the other owns vacation property on the island of Antigua." — Jets fan is seventh, Carmen has Antigua.

Now, perhaps there is no distinction, but let's see the island for Holly.

If Holly has Jamaica, then in Clue 9, Saint Martin (1) < Jamaica (3), which is true, and 3 is closer to 1 than 7 is, but the clue doesn't require that.

Perhaps the word "closer" implies that it is nearer, but in English, "closer to the front" means having a smaller position number, not necessarily adjacent.

For example, position 1 is closer to front than position 2, etc.

So both are valid.

But to provide an answer, perhaps the intended solution is with Jamaica in position 3, as it is more "close".

Maybe from the way the clues are ordered, but I think for the sake of completing, I'll choose the first one I had.

So let's go with:

- First: Sergio, Saint Martin, Cowboys
- Third: Holly, Jamaica, Bears
- Seventh: Eliana, Grenada, Jets
- Eighth: Carmen, Antigua, Patriots

Or to match the grid, perhaps list the orders.

Since the user may expect the filled grid, but in the response, we need to give the final answer as the assignment.

Perhaps the final answer is the completed table.

But in the instruction, "Final Answer" should be the solution.

So I'll box the assignment.

To be precise, let's state for each position.

So:

Position first: Sergio, island Saint Martin, team Cowboys

Position third: Holly, island Jamaica, team Bears

Position seventh: Eliana, island Grenada, team Jets

Position eighth: Carmen, island Antigua, team Patriots

And this satisfies all clues, as above.

If I swap Jamaica and Grenada, it also satisfies, but perhaps in the context, this is fine.

I think for the purpose, I'll go with this.

So Final Answer:

First: Sergio, Saint Martin, Cowboys
Third: Holly, Jamaica, Bears
Seventh: Eliana, Grenada, Jets
Eighth: Carmen, Antigua, Patriots

To write it nicely.

Since the puzzle might expect the grid filled, but in text, this is ok.

So I'll put that.

Final Answer:

- First: Sergio, Saint Martin, Cowboys
- Third: Holly, Jamaica, Bears
- Seventh: Eliana, Grenada, Jets
- Eighth: Carmen, Antigua, Patriots