Question
In how many different ways can the letters of the word
“DISCHARGE” be arranged in such a way that the vowels always come together?Solution
The arrangement is made in such a way that the vowels always come together i.e., DSCHRG(IAE) Considering Vowels as one letter, 7 different letters can be arranged in 7! Ways = 5040 The Vowels “IAE” can be arranged themselves in 3! Ways = 6 Therefore, required number of ways = 5040 × 6 = 30240
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