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 5 of 10.
Xyz said:
9 years ago
How many letters can be formed from COMBINATION if vowels are kept together?
Please give the solution.
Please give the solution.
Xyz said:
6 years ago
How many 5 letter words can be formed out of the word NATIONALIST?
How to solve this. Please help!
How to solve this. Please help!
(10)
Navan said:
9 years ago
I have one question.
How many ways 11players selected from 15 players?
Please give me the answer.
How many ways 11players selected from 15 players?
Please give me the answer.
Aniket Arsad said:
6 years ago
Vowels are EA so _L_D_I_N_G_.
So there is six space we can arrange EA so the answer is 6! = 720.
So there is six space we can arrange EA so the answer is 6! = 720.
Supriya said:
7 years ago
LEADING- V-3,(1 unit).
C-4 ,(4+ 1unit)=5!
n-7.
=5!*3!=120*6=720.
C-4 ,(4+ 1unit)=5!
n-7.
=5!*3!=120*6=720.
Sanjay Raj G said:
4 years ago
@All.
Answer is not 720.
Ans is 5040.
L E A D I N G
Total 7!
So 1*2*3*4*5*6*7 = 5040.
Answer is not 720.
Ans is 5040.
L E A D I N G
Total 7!
So 1*2*3*4*5*6*7 = 5040.
(8)
Shrinivas said:
1 decade ago
Hi if two vowels are repeated in same word then will you take it as same or as different?
Vanmathi said:
10 years ago
In how many ways LEADING be arranged such a way that atleast two vowels always together?
Adhi said:
6 years ago
Will anyone please explain, how can arrange if one more same vowels had. Eg CORPORATION?
Chetas said:
1 decade ago
@Adhityasena.
You have not considered a vowel 'I'. 'EAI' is to be taken as one unit.
You have not considered a vowel 'I'. 'EAI' is to be taken as one unit.
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