Question

How many permutations are there for the letters in the word `" machines"?`

Answer 1

`40,320`

Explanation:

There are `8` unique letters.

There are eight options for the first position.

When one is taken, there are seven options for the second position, and so on..

Therefore, the answer is:

`8! = 8 xx 7 xx 6 xx 5 xx 4 xx 3 xx 2 xx 1`

Permutations include different orders of the same letters.