Lessons

General Aptitude
26.1 Permutation and Combination - General Questions

12 / 14

Q.

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

View Answer

Correct choice: D

Explanation:

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!/ = 20 ways.
3!

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

12 / 14