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Q: 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?

  • 1
    4320
  • 2
    4694
  • 3
    4957
  • 4
    4871
  • Show Answer
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Answer : 1. "4320"
Explanation :

Answer: A) 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.

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