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 10 of 10.
Suraj said:
6 years ago
Make a queue of vowels should not come together.
(2)
Xyz said:
5 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)
Keerti AR said:
4 years ago
LEADING = 7 letters => 4 alphabets (LNDG) + 1 group (3 vowels) = 5 ! ways.
=>5 * 4 * 3 * 2 * 1 = 120.
Now, the group can be arranged in 3 ways, since there are 3 vowels,
So 3!=6 (3 * 2 * 1).
Hence, 120 * 6 = 720 ways can be arranged.
=>5 * 4 * 3 * 2 * 1 = 120.
Now, the group can be arranged in 3 ways, since there are 3 vowels,
So 3!=6 (3 * 2 * 1).
Hence, 120 * 6 = 720 ways can be arranged.
(29)
DHEEPAK S said:
4 years ago
I can't understand this, Please anyone help me to get it.
(6)
Sanjay Raj G said:
3 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)
Ayush said:
3 years ago
Here 5! = 5*4*3*2*1 = 120.
(7)
Othasekar said:
2 years ago
LEADING
Vowels can be together in 5 ways.
So 5!=120.
Vowels can be arranged in 3 ways.
So 3!=6.
Total = 120x6 = 720.
Hope you understand.
Vowels can be together in 5 ways.
So 5!=120.
Vowels can be arranged in 3 ways.
So 3!=6.
Total = 120x6 = 720.
Hope you understand.
(23)
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