High School

What does [tex]n![/tex] represent?

1) The number of different combinations of [tex]n[/tex] different items
2) The number of different arrangements of [tex]n[/tex] different items
3) The number of different selections of [tex]n[/tex] different items
4) The number of different divisions of [tex]n[/tex] different items

Answer :

Final answer:

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

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.