# Variations with repetition

The calculator calculates the number of variations with repetition. A variation of the k-th class with repetition of n elements is any ordered k-element group composed of only these n elements such that each element can be repeated any number of times.## Calculation:

$V_{k}(n)=n_{k}n=10k=4V_{4}(10)=10_{4}=10000$

### The number of variations with repetition: 10000

# A bit of theory - the foundation of combinatorics

## Variations with repetition

A variation of the k-th class of n elements is an ordered k-element group formed of a set of n elements, wherein the elements can be repeated and depends on their order. A typical example is the formation of numbers from the numbers 2,3,4,5, and finding their number. We calculate their number according to the combinatorial rule of the product:$V_{k}(n)=n⋅n⋅n⋅n...n=n_{k}$

## Foundation of combinatorics in word problems

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