Pascal's triangle, a simple yet complex mathematical construct, hides some surprising properties related to number theory and probability.

Kieren MacMillan, Jonathan Sondow, Proofs of Power Sum and Binomial Coefficient Congruences Via Pascal’s Identity, The American Mathematical Monthly, Vol. 118, No. 6 (June‒July 2011), pp. 549-551 ...

I first encountered Pascal’s triangle on a worksheet my older brother brought home from school when I was in eighth grade. At the time, I was taking geometry (with a teacher who had a cool pair of ...

Binomial Theorem for Positive Integral Indices Pascal’s Triangle Binomial theorem for any positive integer n Binomial theorem for some special cases General and middle terms of a binomial expansion.