1. TREE
- Number of letters: 4
- Repeated letters: 2 E's
- Total number of Permutations: 4! / 2! = 24 / 2 = 12
2. BELIEVE
- Number of letters: 7
- Repeated letters: 3 E's and 2 I's
- Total number of Permutations: 7! / (3! * 2!) = 5040 / (6 * 2) = 5040 / 12 = 420
3. COMMUNICATE
- Number of letters: 11
- Repeated letters: 2 C's, 2 M's, 2 E's, 2 T's
- Total number of Permutations: 11! / (2! * 2! * 2! * 2!) = 39916800 / (2 * 2 * 2 * 2) = 39916800 / 16 = 2494800
II. CIRCULAR PERMUTATIONS
1. Suppose you are seating 5 people at a circular table. How many different ways can you arrange the people around the table?
- Set-up: (5 - 1)!
- Total number of Permutations: 4! = 24
2. Your mother wants to plant some shrubs around a circular walkway. She has ten different shrubs. How many different ways can the shrubs be planted?
- Set-up: (10 - 1)!
- Total number of Permutations: 9! = 362880
Parent Tip: Review the logic above to help your child master the concept of permutation worksheet.
