In how many different ways can the letters of the word “MONDAY” be arranged in such a way that the vowels always come together?
The arrangement is made in such a way that the vowels always come together; ie, “MNDY (OA)” Considering vowels as one letter, 5 different letters can be arranged in 5 ways; ie, 5! = 120 ways The vowels ‘OA’ can be arranged themselves in 2! ways; 2! = 2 ways Therefore, required number of ways = 120 × 2 = 240 ways
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