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:
99 comments Page 4 of 10.
Akshay said:
9 years ago
@Navan.
15c11 = 15!&div(15-11)! * 11!
15c11 = 15!&div(15-11)! * 11!
Shivam said:
8 years ago
Why 120*6 why not 120+6? Please explain me.
Sowmya said:
9 years ago
@Xyz.
C,M,B,N,T,N,(O,I,A,I,O)=> C,M,B,T,N,(O,I,A)=> 6! ways.
Vowels alone can be rearranged themselves in 3! ways.
So 6! * 3! = 2160.
Hope this is right.
C,M,B,N,T,N,(O,I,A,I,O)=> C,M,B,T,N,(O,I,A)=> 6! ways.
Vowels alone can be rearranged themselves in 3! ways.
So 6! * 3! = 2160.
Hope this is right.
Xyz said:
10 years ago
How many letters can be formed from COMBINATION if vowels are kept together?
Please give the solution.
Please give the solution.
Otieno said:
10 years ago
Where has 5! come from? Please explain me.
Rakesh said:
10 years ago
In leading 5! * 3! ways we can fill all vowels come together.
Prajwal said:
10 years ago
Does it have an another method to find the solution?
Gopika S S said:
10 years ago
A number of permutations of "n" different things are taken "m" specified things always come together is m!* (n-m+1) !
Here the three vowels always come together. So here m is 3. A total number of letters is 7. Substitute we get.
3!* (7 - 3 + 1)! = 3! * 5!
= 6 * 120 =720.
Hope you got it.
Here the three vowels always come together. So here m is 3. A total number of letters is 7. Substitute we get.
3!* (7 - 3 + 1)! = 3! * 5!
= 6 * 120 =720.
Hope you got it.
Adhi said:
7 years ago
Will anyone please explain, how can arrange if one more same vowels had. Eg CORPORATION?
Shoba said:
2 decades ago
Other than vowels there are only 4 letter then how it s possible to get 5!.
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