Question

Factorial (!) states that n! is the number of different permutations (order counts) of n different items when all n of them are selected. What does n! represent?

1) The number of different combinations of n different items
2) The number of different arrangements of n different items
3) The number of different selections of n different items
4) The number of different divisions of n different items

Answer 1

n! represents the number of different arrangements of n different items.

Step-by-step explanation:

n! represents the number of different arrangements of n different items. It is the product of all positive integers less than or equal to n. For example, 4! is equal to 4 x 3 x 2 x 1, which equals 24. This means there are 24 different ways to arrange 4 different items in a line.