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Question

Consider all the permutations of the word BENGALURU. The number of words in which vowels occur at even places is given as A and the number of words in which the letters of the word GLUE appear together in that order is given as B. Find the value of AB

A
1440
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B
720
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C
2160
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D
1200
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Solution

The correct option is B 720
No. of ways in which vowels{E,A,U,U} can take even places in the word BENGALURU is 4!2!×5!=A=1440

Consider GLUE as a single entity.
Then, no. of ways in which GLUE appears together is 6!=B=720
AB=720

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