Question

Property related to prime number in a pascal triangle

Answer 1

Step-by-step explanation:

I believe it is true.

If (nr)=p for some prime p and 1<r<n−1, then,

If n≥p, then (nr)>n≥p, as the binomial coefficients increase and then decrease as r varies from 0 to n.

If n<p then (nr) can never be divisible by p, as n! is not divisible by p.

OR as hardmath succintly put it:

p∣(nr)⇒p≤n<(nr)