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 7 of 10.

Juliana said:   7 years ago
How do you calculate combinations, can you do an example? Please.

Rakesh said:   9 years ago
In leading 5! * 3! ways we can fill all vowels come together.

Madhusudan said:   1 decade ago
Could you kindly let me know what is ( ! ).Howe 5! = 120 ?
(1)

Sandeep said:   1 decade ago
can any one explain ? y 5!*3! & y not like this 5!+3!

DHEEPAK S said:   4 years ago
I can't understand this, Please anyone help me to get it.
(7)

Amnafida said:   1 decade ago
Describe that how we know about here permutation is use?

Sundar said:   1 decade ago
@Madhusudan

5! = 5 Factorial = 1 x 2 x 3 x 4 x 5 = 120
(1)

RAJA said:   10 years ago
Hai @Soumya.

S its 1 letter only. Hope you understand.

Raj said:   1 decade ago
Friends, How do you say this question is permutation.

Pallavi said:   6 years ago
Why 120*6?

Why not 120+6? Please tell me the reason.


Post your comments here:

Your comments will be displayed after verification.