compute the multinomial coefficients - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Discrete Mathematics : Combinatorics : combinat : combinat/multinomial

combinat[multinomial] - compute the multinomial coefficients

Calling Sequence

multinomial(n, k1, k2, ..., km)

Parameters

n

-

a positive integer

k[i]

-

positive integers whose sum is n

Description

• 

The procedure multinomial(n, k1, k2, ..., km) computes the multinomial coefficient denoted n&verbar;k1,k2,...,km equal to n&excl;&sol;k1&excl;k2&excl;...km&excl; where it is assumed that n=k1+k2+...+km and that 0<m; that is, there are at least 2 arguments.

• 

The command with(combinat,multinomial) allows the use of the abbreviated form of this command.

Examples

withcombinat&comma;multinomial

multinomial

(1)

multinomial8&comma;2&comma;6

28

(2)

binomial8&comma;2

28

(3)

multinomial8&comma;2&comma;3&comma;3

560

(4)

See Also

binomial, combinat


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam