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.
Eswaru said:
10 years ago
Hey dude we have to form 7 letter words from LEADING that means we need to use all the letters at a time. So no repetition are allowed.
Tanmay said:
8 years ago
In how many different ways can the letters of the word software be arranged in such a way that the vowels always come together?
Aradhy said:
6 years ago
@Deepanesh.
We are taking the possibilities of vowel because vowels can also change their position in the given arrangement.
We are taking the possibilities of vowel because vowels can also change their position in the given arrangement.
(1)
Siva said:
1 decade ago
Permutations and combinations always make me to confuse much.
How to decide based on the descriptive aptitude question ?
How to decide based on the descriptive aptitude question ?
Avishek kadel said:
8 years ago
In how many ways the letters of word ELEMENT can be arranged so that vowels are always together?
Can anyone solve this?
Can anyone solve this?
Technothelon said:
9 years ago
@Brian.
There aren't such kind of ways. Because arrangement is not taken into consideration when we do combinations.
There aren't such kind of ways. Because arrangement is not taken into consideration when we do combinations.
Vivek Sharma said:
8 years ago
It should be 1440, as the vowels can be after the consonants as well as before the consonants. So 720*2. Am I right?
Taku mambo bellnuisemarbel said:
1 decade ago
Please help me with this; whenever I hear of probability that a variable is being selected what should I think of?
Samson said:
1 decade ago
God bless you all for your contribution especially you @Jessie for using the formula to break it down well.
Ranjeet said:
1 decade ago
Well I am confused. Somewhere n! is done whereas somewhere (n-1)! is used.
Can someone explain about it?
Can someone explain about it?
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