Combinations


A combination in combinatorics is a selection of k elements from n, where order does not matter.

Number of combinations (without repetition)

$$C_{n}^{k}=\frac{n!}{k!(n-k)!}$$


where,

n— number of elements;
k— number of selected elements.

Number of combinations (with repetition)

$$\overline{C}_{n}^{k}=\binom{n+k-1}{k}$$


where,

n— number of elements;
k— number of selected elements.

See also:


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