Latest general Aptitude Question SOLUTION: In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ? (a)810 (b)1440 (c)2880 (d)50400 (e)5760

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(#M40010127) GENERAL question Keep an EYE

In how many different ways can the letters of the word 'CORPORATION' be arranged
so that the vowels always come together ?

(a)810
(b)1440
(c)2880
(d)50400
(e)5760

Asked In general IQBAL MEHDI (11 years ago)

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Garima  (11 years ago)

50400

In the word 'CORPORATION', we treat the vowels OOAIO as one letter.

Thus, we have CRPRTN (OOAIO).

This has 7 (6 + 1) letters of which R occurs 2 times and the rest are different.

Number of ways arranging these letters = 7! = 2520.
2!

Now, 5 vowels in which O occurs 3 times and the rest are different, can be arranged in 5!/3! = 20 ways.


Required number of ways = (2520 x 20) = 50400.

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