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 9 of 10.
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.
Tushar said:
7 years ago
@Shiva.
It means 5!.
It means 5!.
Pooja said:
7 years ago
5! means? Explain
Kiran kumar k said:
6 years ago
How you get 5(4+1=5) i.e 5!?
Adhi said:
6 years ago
Will anyone please explain, how can arrange if one more same vowels had. Eg CORPORATION?
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.
Pallavi said:
6 years ago
Why 120*6?
Why not 120+6? Please tell me the reason.
Why not 120+6? Please tell me the reason.
Ameena said:
6 years ago
Hello,
We have word leading.we have vowels( EAI), first taken as 1 and can be arranged in _L_D_N_G_ that is in 5! Ways, EAI in 3! Ways, and LNDG in 4! ways.
That is 5! * 4! * 3! = 17,280 ways.
We have word leading.we have vowels( EAI), first taken as 1 and can be arranged in _L_D_N_G_ that is in 5! Ways, EAI in 3! Ways, and LNDG in 4! ways.
That is 5! * 4! * 3! = 17,280 ways.
(5)
Deepanesh said:
6 years ago
Why we are taking possibilities of vowels too?
(1)
Aradhy said:
6 years ago
@Deepanesh.
We are taking the possibilities of vowel because vowels can also change their position in the given arrangement.
We are taking the possibilities of vowel because vowels can also change their position in the given arrangement.
(1)
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