MathDiscrete mathCombinatorics

Permutations

Permutations with repetition

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Suppose that there are $n$ elements. $x$ of these elements are equal to each other while other $y$ elements are also equal to each other. How many distinct permutations are there?

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n!

n! \over {x \cdot y}

n! \over {x! \cdot y!}

n! \cdot x! \cdot y!

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