Alma's math teacher said that there was 10 factorial (10!) possible different orders in which the problems on the next exam could be arranged. What does 10! mean?

A - 10^100

B - 10 (9+8+7+6+5+4+3+2+1)

C - 10 (9) (8) (7) (6) (5) (4) (3) (2) (1)

D - 10,000,000,000

The 10! means 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- Factorial number means a number which is multiply itself to its

decreasing numbers

- In mathematics, the factorial of a non-negative integer n, denoted by

n! is the product of all positive integers less than or equal to n

- That means n! = n * (n-1) * (n-2) * (n-3) * ... * 1

- Ex: 5! = 5 * 4 * 3 * 2 * 1 = 120

* Lets solve the problem

- There was 10 factorial 10! possible different orders

- The meaning of 10! is the multiplication of all the numbers from

10 to 1

∴ 10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

* The 10! means 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1