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How many words can be formed with the letters of the word MANAGEMENT by rearranging them?

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Question

How many words can be formed with the letters of the word MANAGEMENT by rearranging them?

Options

  • `(10!)/(2!2!2!)`

  • `(10!)/(2!2!)`

  • `(10!)/(2!2!2!2!)`

  • 10!

MCQ
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Solution

`(10!)/(2!2!2!2!)`

Explanation:

Since, there are 2 M's, 2 A's, 2 N's, and 2E's.

∴ Required number of ways are `(10!)/(2!2!2!2!)`

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