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

32.4.5 Pascal's Triangle

32.4 The Binomial Theorem and Pascal's Triangle

Point 5 of 7

32.4.5 Pascal's Triangle

Core idea

A number triangle where 'each entry is the sum of the two above its shoulders', and every row is precisely the line of coefficients for (a+b)^n

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 · 32.4.5 Pascal's Triangle