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gabrielle
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Tyro
Asked: 2021-04-13T11:11:36+00:00 In:

Permutation with Repetition

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How many different ways can the letters of the word RETREAT be arranged?

permutation

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  2. acedstud
    Best Answer

    RETREAT has 7 letters where R, E, and T appear twice.

    Thus, the number of ways that RETREAT can be arranged is given by \dfrac{7!}{2!\times2!\times2!}=\dfrac{7\times6\times5\times4\times3\times2\times1}{2\times1\times2\times1\times2\times1}

    =7\times6\times5\times3=630 ways.

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