June 15, 2021 3:30 pm
Topic starter
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In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
1 Answer
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June 15, 2021 3:30 pm
Topic starter
The word 'LEADING' has 7 different letters. When the vowels EAI are always together, they can be supposed to form one letter. Then, we have to arrange the letters LNDG (EAI). Now, 5 (4 + 1 = 5) letters can be arranged in 5!=120 ways. The vowels (EAI) can be arranged among themselves in 3!=6 ways. Required number of ways = 120 x 6 = 720.