Home » Aptitude » Permutation and Combination

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?

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.


← Previous Question Next Question→

More Questions from Permutation and Combination

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion