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.
Moaned said:
1 decade ago
I am not getting
Mayur said:
1 decade ago
How it came like nPr formula and how you have solve it? please let me know.
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.
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.
Adhi said:
6 years ago
Will anyone please explain, how can arrange if one more same vowels had. Eg CORPORATION?
Kiran kumar k said:
6 years ago
How you get 5(4+1=5) i.e 5!?
Vivek Sharma said:
8 years ago
It should be 1440, as the vowels can be after the consonants as well as before the consonants. So 720*2. Am I right?
Tushar said:
7 years ago
@Shiva.
It means 5!.
It means 5!.
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.
Sankardev said:
7 years ago
-L-D-N-G.
5!/(5-3)! = 120/2=60.
60*3!=60*6,
=360.
5!/(5-3)! = 120/2=60.
60*3!=60*6,
=360.
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