Aptitude - Permutation and Combination - Discussion
Discussion Forum : Permutation and Combination - General Questions (Q.No. 2)
2.
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Answer: Option
Explanation:
The word 'LEADING' has 7 different letters.
When the vowels EAI are always together, they can be supposed to form one letter.
Then, we have to arrange the letters LNDG (EAI).
Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
The vowels (EAI) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
Video Explanation: https://youtu.be/WCEF3iW3H2c
Discussion:
97 comments Page 2 of 10.
Mayur said:
1 decade ago
How it came like nPr formula and how you have solve it? please let me know.
Bharti said:
1 decade ago
Thanks a lot. I had confusion before your explanations. Thanks a lot.
Pavan@9966606261 said:
1 decade ago
@mayur.
You just look when ever you open the new exercise there will be availability of basic formulas. If you go through them half of the task would be finished easily. Have a good day buddy.
You just look when ever you open the new exercise there will be availability of basic formulas. If you go through them half of the task would be finished easily. Have a good day buddy.
Siva said:
1 decade ago
Permutations and combinations always make me to confuse much.
How to decide based on the descriptive aptitude question ?
How to decide based on the descriptive aptitude question ?
Shiva said:
1 decade ago
Why we have taken 5 (4 + 1) ?
Santosh kumar pradhan said:
1 decade ago
Total member 7
out of which 5 consonant and 3 vowels
take 3 vowls as a 1
hen number of consonant will arrange 5! ways
and these 3 vowels will arrange 3! ways
though,5!*3!=720
out of which 5 consonant and 3 vowels
take 3 vowls as a 1
hen number of consonant will arrange 5! ways
and these 3 vowels will arrange 3! ways
though,5!*3!=720
Bhavik said:
1 decade ago
How to read these nPr ?
Sagar choudhary said:
1 decade ago
What is this 5! and 3! ?
A.Vamsi krishna said:
1 decade ago
"!" this implies factorial that means a number is multiplied
like for example take number 5 then its factorial will be
taken as 5*4*3*2*1 and this is equal to 120.
like for example take number 5 then its factorial will be
taken as 5*4*3*2*1 and this is equal to 120.
Ncs said:
1 decade ago
Why not 5! + 3! ?
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