Unordered subgroups: the binomial coefficient

C(N, n) = N!/(n!(N-n)!) = N_P_n / n!, eqs (1.7)-(1.8). The ordered count is returned as well and n! C(N,n) = N_P_n is checked.

Usage

BinomCoef(N, n)

Arguments

N, n

pool size and subgroup size, 0 <= n <= N.

Value

list(n_objects, n_picks, count, ordered_count, forms_agree).

References

Morin, D. J. (2016). Probability: For the Enthusiastic Beginner. Createspace. Eqs. (1.7)-(1.8).

Examples

BinomCoef(52, 5)$count
#> [1] 2598960