Permutations and Factorials in Words

A word with only consonants

A word with only vowels

A word without repeated letters

A word with repeated letters

8

7

6

5

2,520

3,600

5,040

720

Use the factorial of the number of letters

Subtract the number of letters

Add the number of letters

Multiply the number of letters

A new distinct pattern is created

The same pattern is maintained

The word becomes an isogram

The word becomes longer

T and A

P and S

C and W

Y and M

Add the factorial of repeated letters

Subtract the factorial of repeated letters

Divide by the factorial of repeated letters

Multiply by the factorial of repeated letters

11

10

12

9

Three times

Twice

Four times

Once

8 factorial divided by 2 factorial times 3 factorial

8 factorial divided by 2 factorial

8 factorial

8 factorial divided by 3 factorial