Combinations with repetition

Find out how many different ways you can choose k items from n items set. With/without repetition, with/without order.

(n)
(k)

Calculation:

C'_k(n) = {n+k-1 choose k} ; ; C'_{ 3 }( 11 ) = C_{ 3 }( 11 + 3 - 1 ) = C_{{ 3}}(13) = {{ 13} choose 3} = fraction{ 13! }{ 3!(13-3)!} = fraction{ 13 * 12 * 11 } { 3 * 2 * 1 } = 286 ; ;

Number of combinations with repetition: 286