Subject
Quantitative Aptitude
Topic
Permutation & Combination
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
ক)
360খ)
480গ)
720ঘ)
5040Explanation
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.Related questions
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