Arithmetic Ability
Permutations and Combinations

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Q.

How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are to occupy only odd places.

View Answer

Correct choice: B

Explanation:

There are 7 letters in the word Bengali of these 3 are vowels and 4 consonants. There are 4 odd places and 3 even places. 3 vowels can occupy 4 odd places in 4P3 ways and 4 constants can be arranged in 4P4 ways. Number of words =4P3 x 4P4= 24 x 24 = 576
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