Aptitude - Permutation and Combination - Discussion
Discussion Forum : Permutation and Combination - General Questions (Q.No. 14)
14.
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
Answer: Option
Explanation:
The word 'OPTICAL' contains 7 different letters.
When the vowels OIA are always together, they can be supposed to form one letter.
Then, we have to arrange the letters PTCL (OIA).
Now, 5 letters can be arranged in 5! = 120 ways.
The vowels (OIA) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
Discussion:
36 comments Page 4 of 4.
Amogha said:
1 decade ago
Take the vowels as 1 unit and non-vowels, each as 1 unit.
Mukesh said:
1 decade ago
Can we use the same method in question 13?
Shubham mishra said:
8 years ago
Yes, I too have same doubt @Anoushka.
Naveen said:
1 decade ago
5!=5*4*3*2*1=120
3!=3*2*1=6
120*6=720
3!=3*2*1=6
120*6=720
Chandu said:
1 decade ago
@Kishore
5!=5*4*3*2*1=120
3!=3*2*1=6
5!=5*4*3*2*1=120
3!=3*2*1=6
Manog said:
7 years ago
@Badshah King.
It is 10p5.
It is 10p5.
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