Question 13.
For some natural number n, assume that (15,000) ! is divisible by (n!)!. The largest possible value of n is
A
5
B
7
C
4
D
6
Question Explanation
Text ExplanationVideo Explanation
To find the largest possible value of n, we need to find the value of n such that n! is less than 15000.
7! = 5040
8! = 40320 > 15000
This implies 15000! is not divisible by 40320!
Therefore, maximum value n can take is 7.
The answer is option B.
