Multinomial coefficient

N!/(n1! n2! ... nk!). When sum(ns) < N the leftover items form one extra implicit committee (Morin's remark below eq (1.35)).

Usage

Multinom(ns, N = NULL)

Arguments

ns

committee sizes, all >= 0.

N

total items; defaults to sum(ns).

Value

list(ns, N, coefficient, assignments); assignments is an alias of coefficient kept for eq (1.35) callers.

References

Morin, D. J. (2016). Probability: For the Enthusiastic Beginner. Createspace. Eqs. (1.35), (1.37).

Examples

Multinom(c(3, 2, 5))$coefficient
#> [1] 2520