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 3 of 4.
Rajeev said:
6 years ago
But the vowel can come in the beginning like;
OIAPTCL.
PTCLOIA.
So, we should add like this (5!*3!+5!*3!)
OIAPTCL.
PTCLOIA.
So, we should add like this (5!*3!+5!*3!)
(1)
BadShah KinG said:
8 years ago
How many five different letter words can be formed out of the word "LOGARITHMS" ?
Can anyone solve this?
Can anyone solve this?
Pastor ThankGod Anyanwu said:
1 decade ago
How many different 10-member committees can be formed from the 100-members of the Nigeria Senate?
Gayathri said:
1 decade ago
There are only 4! non vowels letter present can please tell me how you did with 5 !
Sree vidya said:
8 years ago
When to use permutation & when to use a combination? Please, someone, explain it.
Sonam said:
9 years ago
If the question is asked "no vowels come together" then what will be the answer?
ACHUTHARAJ said:
1 decade ago
Ya mini is correct
P+T+C+L+(OIA)= 5!=5X4X3X2X1=120
OIA =3!=3X2X1=6
120*6=720
P+T+C+L+(OIA)= 5!=5X4X3X2X1=120
OIA =3!=3X2X1=6
120*6=720
Kishore said:
1 decade ago
Can you please brief me about 5!letters = 120 ways and 3! = 6 ways
Logesh said:
1 decade ago
How to find the rank of the word with possible combinations?
Karan kumar said:
7 years ago
Vowels come together so there are 5!
And 3!.
120 * 6 = 720.
And 3!.
120 * 6 = 720.
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