Stage 32 · Counting, Permutations, Combinations & the Binomial Theorem

32.4.2 The Binomial Theorem

32.4 The Binomial Theorem and Pascal's Triangle

Point 2 of 7

32.4.2 The Binomial Theorem

Core idea

The coefficient of each term is just the combination number C(n,k) for 'how many of the n brackets you pick b from' — that is the binomial expansion

Module goal. Use combination numbers to explain the expansion of (a+b)^n, master the general term and the pattern of the coefficients, and connect it to Pascal's triangle, paving the way for the binomial distribution in the next stage on probability
eastmath.com · 32.4 The Binomial Theorem and Pascal's Triangle · 32.4.2 The Binomial Theorem