Question 144
In how many ways can the letters of the word MIRACLE be arranged such that all the vowels remain together.
Solution
MIRACLE contains I,A,E as vowels apart from M, R, C, L as consonants. Group I, A, E as one unit.
Total number of ways = 5!
Now I, A, E can be arranged in 3! ways.
Total number of ways = 5!*3! = 120*6 = 720 ways
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