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 10 of 10.

Sagar choudhary said:   1 decade ago
What is this 5! and 3! ?

Bhavik said:   1 decade ago
How to read these nPr ?

Tushar said:   7 years ago
@Shiva.

It means 5!.

Pooja said:   7 years ago
5! means? Explain

Ncs said:   1 decade ago
Why not 5! + 3! ?

Moaned said:   1 decade ago
I am not getting

Subbu said:   1 decade ago
7!=5040
(1)


Post your comments here:

Your comments will be displayed after verification.