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:
99 comments Page 5 of 10.
Sachin Kumar said:
2 decades ago
Please make me understand this answer as did not get.
Laxmikanth said:
2 decades ago
When should we take the one or more letters as a single unit and why?
Moaned said:
2 decades ago
I am not getting
Mayur said:
2 decades ago
How it came like nPr formula and how you have solve it? please let me know.
Bharti said:
1 decade ago
Thanks a lot. I had confusion before your explanations. Thanks a lot.
Pavan@9966606261 said:
1 decade ago
@mayur.
You just look when ever you open the new exercise there will be availability of basic formulas. If you go through them half of the task would be finished easily. Have a good day buddy.
You just look when ever you open the new exercise there will be availability of basic formulas. If you go through them half of the task would be finished easily. Have a good day buddy.
Pallavi said:
7 years ago
Why 120*6?
Why not 120+6? Please tell me the reason.
Why not 120+6? Please tell me the reason.
Aniket Arsad said:
7 years ago
Vowels are EA so _L_D_I_N_G_.
So there is six space we can arrange EA so the answer is 6! = 720.
So there is six space we can arrange EA so the answer is 6! = 720.
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.
Kiran kumar k said:
7 years ago
How you get 5(4+1=5) i.e 5!?
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