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

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 ...

SYED ABBAS, Proving the Extended Binomial Theorem Using Ordinary Differential Equations, Mathematics Magazine, Vol. 93, No. 1 (February 2020), pp. 33-35 ...

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.