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.
Gayathri said:
1 decade ago
There are only 4! non vowels letter present can please tell me how you did with 5 !
Jiyas said:
1 decade ago
6 bells comments talling together &tall at the intervels of 2,4,6,8,10,&12 second respectively.
In 30 minits how many time do they tall together ?
In 30 minits how many time do they tall together ?
Praveen said:
1 decade ago
There are 4 letters in this, so we can arrange those 4 letters in 4!ways and not in 5! ways..
Now, 4 letters can be arranged in 4!=24
The vowels (OIA) can be arranged among themselves in 3!=6 ways
Required number of ways =(24*6)=144
Now, 4 letters can be arranged in 4!=24
The vowels (OIA) can be arranged among themselves in 3!=6 ways
Required number of ways =(24*6)=144
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
Kishore said:
1 decade ago
Can you please brief me about 5!letters = 120 ways and 3! = 6 ways
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