For positive integer n, the factorial notation n! represents the product of the integers from n to 1. (For example, 6! = 6*5*4*3*2*1.) What value of n satisfies the following equation? 5! * 9! = 12 * n!
(A) 10 (B) 11 (C) 12 (D) 13 (E) 14

10

Step-by-step explanation:

5! = 5×4×3×2×1 = 120 = 12 × 10

9! = 9 ×8×7×6×5!

n! = (5! × 9!) / 12

n! = ( 12 ×10 × 9!) / 12

n! = 10!

13

Step-by-step explanation:

5! Is 4! Away from 9! So 9! +4!= 13!

step-by-step explanation:

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5