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:
FAQ
What is a variation in combinatorics?
It is an ordered selection of elements from a set.
What does repetition mean here?
With repetition, the same element can be selected more than once.
How is it different from combinations?
Order matters in variations, but it does not matter in combinations.
