Q:

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- 10^100B- 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

Accepted Solution

A:
Answer:The 10! means 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 ⇒ answer CStep-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