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

32.4.1 Starting from Expanding (a+b)^n

32.4 The Binomial Theorem and Pascal's Triangle

Point 1 of 7

32.4.1 Starting from Expanding (a+b)^n

Core idea

Multiply the n copies of (a+b) one by one, and each term is one way of choosing 'a or b' out of every bracket

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 · 32.4.1 Starting from Expanding (a+b)^n