(4!)^n is a factor of 12!, but (4!)^(n+1) is not factor of 12!. What is the value of n? Options.
A) 1
B) 2
C) 3
D) 4
E) 5

Rationale: 12 ! = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 4 ! = 24 question can be rephrased as how many 24 ' s are there in 12 ! 12 * 2 = 24 4 * 6 = 24 3 * 8 = 24 value of n = 3 answer : c
Answer: C