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

if x decreases by 4 then y increases by 10

step-by-step explanation:

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a