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 5 of 6.
Abhi said:
9 years ago
How come 7!/2! Is 2520? 7!/2! = (7*8) / (2*1) = 32 isn't? Then how 2520?
Raj said:
1 decade ago
Hi friends actually that is a one formula npr formula is used.
Priyanka said:
1 decade ago
I also can't understand division. Is there any formula ?
Satty said:
1 decade ago
I have the same question, Is there a formula behind ?
Pavi said:
7 years ago
I am not getting. Can anyone help me to solve this?
(2)
Gerald said:
1 decade ago
Please I'll like to know how you get 2520 and 20?
Kumaran said:
1 decade ago
How the 7 is came instead of 6 (CRPRTN).
Aswathy said:
7 years ago
Thank you for the given explanation.
(1)
Preeti said:
1 decade ago
Which formula is used in 7!/2!?
Kirti said:
1 decade ago
7!/2! = 2520. How is possible?
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