Find the maximum value of n such that 50! is perfectly divisible by 2520^n Choose the correct choice from the following options
A) 7
B) 8
C) 9
D) 6
E) 5

Rationale: 2520 = 2 ^ 3 * 3 ^ 2 * 5 * 7 here , 7 is the highest prime , so find the no . of 7 ' s in 50 ! only no . of 7 ' s in 50 ! = [ 50 / 7 ] + [ 50 / 7 ^ 2 ] = 7 + 1 = 8 answer : b
Answer: B