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?
360
480
720
5040
None of these
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 8 of 10.

Tom said:   1 decade ago
In what situations we can permutation or combination?

Sachin Kumar said:   1 decade ago
Please make me understand this answer as did not get.

Prajwal said:   9 years ago
Does it have an another method to find the solution?

Baidyanath jena said:   1 decade ago
When it comes to persons it should be combination.

Sankardev said:   7 years ago
-L-D-N-G.

5!/(5-3)! = 120/2=60.
60*3!=60*6,
=360.

Spurthy said:   1 decade ago
All the consonants can also be written as a unit?

Suraj said:   6 years ago
Make a queue of vowels should not come together.
(2)

Deepanesh said:   6 years ago
Why we are taking possibilities of vowels too?
(1)

Shivam said:   7 years ago
Why 120*6 why not 120+6? Please explain me.

Otieno said:   9 years ago
Where has 5! come from? Please explain me.


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