Symbiosis National Aptitude Test SNAP 2014 Paper

Question : 1 of 150

Marks: +1, -0

How many different letter arrangements can be made from the letter of the word EXTRA in such a way that the vowels are always together?

Solution:

Considering the two vowels E and A as one letter, the total no. of letters in the word ‘EXTRA’ is 4 which can be arranged in

\,↖{4}P_4

, i.e. 4! ways and the two vowels can be arranged among themselves in 2! ways.
∴ reqd. no. = 4! × 2! = 4 × 3 × 2 × 1 × 2 × 1 = 48

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