Discrete mathematics

Combinatorics

Factorials, permutations, arrangements and combinations.

Discrete mathematics

Permutations with repetition

P = n!/(n₁!n₂!…)→
Discrete mathematics

Factorial

n! = 1·2·…·n→
Discrete mathematics

Number of permutations

Pₙ = n!→
Discrete mathematics

Arrangements without repetition

Aₙᵏ = n!/(n−k)!→
Discrete mathematics

Combinations without repetition

Cₙᵏ = n!/[k!(n−k)!]→
Discrete mathematics

Sequences with repetition

N = nᵏ→
Discrete mathematics

Combinations with repetition

C(n+k−1,k)→
Discrete mathematics

Circular permutations

Pcircle = (n−1)!→