Aptitude - Permutation and Combination - Discussion
Discussion Forum : Permutation and Combination - General Questions (Q.No. 3)
3.
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
Answer: Option
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
Discussion:
60 comments Page 6 of 6.
Arun kumar said:
10 years ago
Which explanation is correct?
Belimgoe emmanuel said:
1 decade ago
How come we had 5/3 = 20ways?
Chandu said:
9 years ago
I understood. Thank you all.
Divya said:
1 decade ago
Good explanation. Thank you.
Kanakam vinay kumar said:
1 decade ago
I understood Very Clearly.
Rubbal said:
5 years ago
Thanks all for explaining.
(4)
Sofia said:
9 years ago
Where did '7' came from?
Hema said:
1 decade ago
How will be7!/2! = 2520?
Ramya said:
1 decade ago
How you get 2520?
Gaurisha said:
1 decade ago
Thanks vinod.
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