» Variations

A variation in combinatorics is an ordered selection of k elements chosen from n elements without repetition.

Number of variations (without repetition)

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


where,

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

Number of variations (with repetition)

$$\overline{V}_{n}^{k}=n^{k}$$


where,

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

See also:


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