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

32.3.3 Two Properties of Combinations

32.3 Combinations: Only Who Was Chosen, Not the Order

Point 3 of 6

32.3.3 Two Properties of Combinations

Core idea

Choosing m is the same as 'rejecting the other n-m', so C(n,m) = C(n,n-m); add to that C(n+1,m) = C(n,m) + C(n,m-1)

Module goal. Tell combinations apart from permutations, master the combination formula and its two key properties, and solve combinations with restrictions plus simple distribution problems
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