MathematicsThe number of ways in which the letters of the word ‘SUCCESSFUL’ be arranged such that all the ‘s’ come together is

The number of ways in which the letters of the word ‘SUCCESSFUL’ be arranged such that all the ‘s’ come together is

  1. A

    8!

  2. B

    8!2!

  3. C

    8!2!2!

  4. D

    8!2!2!2!

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    Solution:

    Given successful – 10 letters [3 S’s, 2 U’s, 2 C’s, 1 E, 1 F, 1 L]

    All the S’s come together

    Treat all 3’s as 1 unit

    Remaining letters 7 + 1 unit of 3’s = 8

    They can be arranged in 8!2!2!.

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