Question: In how many different ways can the letters of the word ‘CORPORATION’ be arranged so that the vowels always come together?
[A].810
1440
2880
50400
[A].
[B].
[C].
[D].
Answer: Option 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.
Video Explanation: https://youtu.be/o3fwMoB0duw