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?
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 4 of 10.
Otieno said:
9 years ago
Where has 5! come from? Please explain me.
Rakesh said:
9 years ago
In leading 5! * 3! ways we can fill all vowels come together.
Prajwal said:
9 years ago
Does it have an another method to find the solution?
Gopika S S said:
9 years ago
A number of permutations of "n" different things are taken "m" specified things always come together is m!* (n-m+1) !
Here the three vowels always come together. So here m is 3. A total number of letters is 7. Substitute we get.
3!* (7 - 3 + 1)! = 3! * 5!
= 6 * 120 =720.
Hope you got it.
Here the three vowels always come together. So here m is 3. A total number of letters is 7. Substitute we get.
3!* (7 - 3 + 1)! = 3! * 5!
= 6 * 120 =720.
Hope you got it.
Jomson joy said:
9 years ago
In PACKET there are 2 vowels. Vowels came 2gether means 4! * 2! = 240.
Total words formed =6! (because of total letters) = 720.
Therefore 720 - 240 = 480.
Total words formed =6! (because of total letters) = 720.
Therefore 720 - 240 = 480.
KIRUPA RANI D said:
9 years ago
Can you give solution for this problem? How many words can be formed from the letters of the word 'PACKET', so that the vowels are never together?
Pooja said:
7 years ago
5! means? Explain
Shoba said:
1 decade ago
Other than vowels there are only 4 letter then how it s possible to get 5!.
Sachin Kumar said:
1 decade ago
Please make me understand this answer as did not get.
Laxmikanth said:
1 decade ago
When should we take the one or more letters as a single unit and why?
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