Stage 32 · Counting, Permutations, Combinations & the Binomial Theorem
32.4.4 Properties of the Binomial Coefficients
32.4 The Binomial Theorem and Pascal's Triangle
Point 4 of 7
32.4.4 Properties of the Binomial Coefficients
Core ideaThe coefficients are small at the ends and big in the middle, symmetric left to right, and adding them all up gives exactly 2^n (set a=b=1)
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