Question

Taking 5 letters at a time, taking 1 letter at a time, and taking all 8 letters at a time.

Answer 1

Part 1

5 letters at a time

Find out the permutation 8P5

`8P5=(8!)/((8-5)!)=6,720`

Part 2

1 letter at a time

Find out the permutation 8P1

`8P1=(8!)/((8-1)!)=(8*7!)/(7!)=8`

Part 3

8 letters at a time

Find out the permutation P8

`P8=8!=40,320`