trigcat.spad line 217 [edit on github]
Category for the usual combinatorial functions.
binomial(n, r)
returns the (n, r)
binomial coefficient (often denoted in the literature by C(n, r)
). Note: C(n, r) = n!/(r!(n-r)!)
where n >= r >= 0
.
factorial(n)
computes the factorial of n
(denoted in the literature by n!
) Note: n! = n (n-1)! when n > 0
; also, 0! = 1
.
permutation(n, m)
returns the number of permutations of n
objects taken m
at a time. Note: permutation(n, m) = n!/(n-m)!
.