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.
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!?
Pooja said:
7 years ago
5! means? Explain
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.
Shivam said:
7 years ago
Why 120*6 why not 120+6? Please explain me.
Saravanakumar said:
7 years ago
LEADING.
Total vowels : E , A, I
remaining : LDNG
assume : EAI we can arrange (EAI)L, L(EAI), D(EAI), N(EAI),G(EAI)
so, total remaining is 4 so, 5!
and possibilities of arranging refer "assume" , 3!
then answer is : 5!*3!
120 * 6=720.
Total vowels : E , A, I
remaining : LDNG
assume : EAI we can arrange (EAI)L, L(EAI), D(EAI), N(EAI),G(EAI)
so, total remaining is 4 so, 5!
and possibilities of arranging refer "assume" , 3!
then answer is : 5!*3!
120 * 6=720.
(1)
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