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In how many different ways can letters of the word SOFTWARE be arranged in such a way that the vowels always come together?

A) 13440
B) 1440
C) 360
D) None of these

Correct Answer:




D) None of these

Description for Correct answer:
There are 8 letters in the word 'SOFTWARE including 3 vowels (O, A, E) and 5 consonants (S, F, T, W, R).

Considering three vowels as one letter, we have six letters which can be arranged in \( \Large ^{6}P_{6}=6! \) ways. But corresponding to each way of these arrangements, the vowels can be put together in 3! ways.

Required number of words = \( \Large 6! \times 3! \) = 4320

Part of solved Permutation and combination questions and answers : >> Aptitude >> Permutation and combination

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