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 6 of 10.
Shivam said:
7 years ago
Why 120*6 why not 120+6? Please explain me.
Bharti said:
1 decade ago
Thanks a lot. I had confusion before your explanations. Thanks a lot.
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.
DragonSlayer said:
8 years ago
Friends in the word LEADING.
there are three vowels A,E,I
With AEI you can form 3! arrangements ie 6 arrangements
As we want the vowels to come together they may be placed at any of the 5 locations on the word LEADING.
So there are 5! arrangements for this.
5! X 3!=720.
The 3 vowels are considered as a single word to simply this process of counting the number if locations.
there are three vowels A,E,I
With AEI you can form 3! arrangements ie 6 arrangements
As we want the vowels to come together they may be placed at any of the 5 locations on the word LEADING.
So there are 5! arrangements for this.
5! X 3!=720.
The 3 vowels are considered as a single word to simply this process of counting the number if locations.
Heta Vaghasia said:
8 years ago
Answer will be 72. How 720 came?
Sandeep said:
1 decade ago
can any one explain ? y 5!*3! & y not like this 5!+3!
Jhansi sri said:
1 decade ago
Please help me quickly why we take 5!*3!, Why we can't take 5!+3!.
Amnafida said:
1 decade ago
Describe that how we know about here permutation is use?
Amna fida said:
1 decade ago
How we know that factorial will use here?
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?
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