Of course! Let's solve each scenario step by step, listing all possible combinations and then counting them.
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Scenario 1: Super kid is getting dressed to fight evil
The super kid can choose:
-
Masks: Green mask, Purple mask →
2 options
-
Capes: Red cape, Yellow cape, Blue cape →
3 options
To find all possible combinations, we pair each mask with each cape.
List of all possible combinations:
| Mask | Cape |
|-------------|------------|
| Green mask | Red cape |
| Green mask | Yellow cape|
| Green mask | Blue cape |
| Purple mask | Red cape |
| Purple mask | Yellow cape|
| Purple mask | Blue cape |
✔ There are 6 possible combinations.
*(You can also calculate this using multiplication: 2 masks × 3 capes = 6 combinations)*
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Scenario 2: Betty is ordering an ice cream
Betty can choose:
-
Flavors: Strawberry, Chocolate, Mint Choc Chip →
3 options
-
Toppings: Nuts, Toffee sauce, Sprinkles →
3 options
We pair each flavor with each topping.
List of all possible combinations:
| Flavor | Topping |
|----------------|--------------|
| Strawberry | Nuts |
| Strawberry | Toffee sauce |
| Strawberry | Sprinkles |
| Chocolate | Nuts |
| Chocolate | Toffee sauce |
| Chocolate | Sprinkles |
| Mint Choc Chip | Nuts |
| Mint Choc Chip | Toffee sauce |
| Mint Choc Chip | Sprinkles |
✔ There are 9 possible combinations.
*(Calculation: 3 flavors × 3 toppings = 9 combinations)*
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Scenario 3: Mr Patel is putting a hat and scarf on
Mr Patel can choose:
-
Hats: Spotty hat, Stripy hat, Bobble hat, Black hat →
4 options
-
Scarves: Stripy scarf, Orange scarf →
2 options
We pair each hat with each scarf.
List of all possible combinations:
| Hat | Scarf |
|--------------|--------------|
| Spotty hat | Stripy scarf |
| Spotty hat | Orange scarf |
| Stripy hat | Stripy scarf |
| Stripy hat | Orange scarf |
| Bobble hat | Stripy scarf |
| Bobble hat | Orange scarf |
| Black hat | Stripy scarf |
| Black hat | Orange scarf |
✔ There are 8 possible combinations.
*(Calculation: 4 hats × 2 scarves = 8 combinations)*
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✔ Final Answers to Fill In:
1.
Super kid: There are
6 possible combinations.
2.
Betty: There are
9 possible combinations.
3.
Mr Patel: There are
8 possible combinations.
You can now fill in the blanks and complete the tables with the combinations listed above!
Parent Tip: Review the logic above to help your child master the concept of possible outcomes worksheet.