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.

Elements to choose from:

(n)

Elements chosen:

(k)

Calculate

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:

$V_k^{\prime }(n)=n\cdot n\cdot n\cdot n...n=n^k$

Foundation of combinatorics in word problems

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• Seating rules
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• Hockey players
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• Olympics
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• Combinations of sweaters
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• Disembarked 5962
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• Seven
  Seven friends agreed to send everyone a holiday card. How many postcards were sent?
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• Gertrude 62304
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• Parking 72644
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• Indistinguishable 74294
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• Natural numbers
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