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  • Question
  • The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of ways of arrangements?


  • Options
  • A. 4320
  • B. 4694
  • C. 4957
  • D. 4871

  • Correct Answer
  • 4320 

    Explanation

    Given Word is PROMISE.

    Number of letters in the word PROMISE = 7

    Number of ways 7 letters can be arranged = 7! ways

    Number of Vowels in word PROMISE = 3 (O, I, E)

    Number of ways the vowels can be arranged that 3 Vowels come together = 5! x 3! ways

     

    Now, the number of ways of arrangements so that three vowels should not come together

    = 7! - (5! x 3!) ways = 5040 - 720 = 4320.

  • Tags: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO

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