Concepts3
∑MathAdvanced
Stirling Numbers of First Kind
Stirling numbers of the first kind count permutations by their number of cycles and connect power polynomials to rising/falling factorials.
#stirling numbers of the first kind#unsigned cycle numbers#signed stirling numbers+12
∑MathAdvanced
Stirling Numbers of Second Kind
Stirling numbers of the second kind S(n,k) count how many ways to split n labeled items into k non-empty, unlabeled groups.
#stirling numbers of the second kind#set partitions#bell numbers+12
∑MathIntermediate
Permutations and Combinations
Permutations count ordered selections, while combinations count unordered selections.
#permutations#combinations#binomial coefficient+12