Show $241|\binom{240}{120}$.

Question

Here is what I found: $\binom{241}{120}*\frac{121}{241}=\binom{240}{120}$. I'm not sure how to continue.

It doesn't. Check the prime factors of $\binom{240}{120}$. – eyeballfrog Dec 18 '18 at 05:22 — eyeballfrog, Dec 18 '18 at 05:22

score 8 · Answer 1 · answered Dec 18 '18 at 03:11

8

241 is prime, and the numerator of the binomial is $240!$, so the question is obviously incorrect.

answered Dec 18 '18 at 03:11

william122

1 Answers1