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Falling factorial

Binomial coefficient (for integers)

Binomial coefficient (in general)

Pascal's rule

Pascal's triangle

Binomial formula

Inclusion-exclusion principle (for cardinality of 2 sets)

Rule of sum

Rule of product

Pidgeonhole principle (Dirichlet's drawer principle)

Inclusion-exclusion principle (for cardinality of 3 sets)

Rising factorial

Permutation (combinatorics)

n! (permutations)

k-combination

n choose k (set theoretic)

Multiset (or bag)

n+k-1 choose k (set theoretic)

Rule of sum (formula)

Rule of product (formula)

Inclusion-exclusion principle (for cardinality of n sets)

Multinomial coefficient

Partition (of a set)
