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 6 of 10.

Ajay said:   1 decade ago
In some cases unit's place, tens place's and hundred's place are used what its mean?

Peter said:   9 years ago
If at least two vowels always together then what will be the answer for LEADING ?

Mukesh said:   10 years ago
Please anyone help me why repetition is not considered in the current problem?

Mayur said:   1 decade ago
How it came like nPr formula and how you have solve it? please let me know.

Shoba said:   1 decade ago
Other than vowels there are only 4 letter then how it s possible to get 5!.

Siva said:   9 years ago
Other than vowels there are only 4 letter then how it s possible to get 5!.

Laxmikanth said:   1 decade ago
When should we take the one or more letters as a single unit and why?

Bharti said:   1 decade ago
Thanks a lot. I had confusion before your explanations. Thanks a lot.

Palak said:   10 years ago
In this question won't the arrangement of non vowels matter and why?

Jhansi sri said:   1 decade ago
Please help me quickly why we take 5!*3!, Why we can't take 5!+3!.


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