Hello!

I am not sure as to how to solve for problem 25 on the most recent 2019 AMC 10A problem set.The problem is as follows:

For how many integers nn between 11 and 5050, inclusive, is

an integer? (Recall that 0!=10!=1.)

(A) 31(B) 32(C) 33(D) 34(E) 35

Can someone please provide a solution and explanation as to why the answer is (D)?

Thanks!