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:
98 comments Page 9 of 10.

Palak said:   1 decade ago
In this question won't the arrangement of non vowels matter and why?

RAJA said:   1 decade ago
Hai @Soumya.

S its 1 letter only. Hope you understand.

Soumya sengupta said:   1 decade ago
If there is another vowel 'o' what should be done like in 'outstanding' here a, i, o, u are vowels do we have to consider (aiou) = 1 letter for calculation?

Vanmathi said:   1 decade ago
In how many ways LEADING be arranged such a way that atleast two vowels always together?

Shrinivas said:   1 decade ago
Hi if two vowels are repeated in same word then will you take it as same or as different?

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

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

Siva said:   10 years ago
Other than vowels there are only 4 letter then how it s possible to get 5!.

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

Shantha said:   1 decade ago
Then how we won't take E+A+I+(LDNG) = 4.


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