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 9 of 10.
Amna fida said:
1 decade ago
How we know that factorial will use here?
Shantha said:
1 decade ago
Then how we won't take E+A+I+(LDNG) = 4.
Akshay said:
8 years ago
@Navan.
15c11 = 15!&div(15-11)! * 11!
15c11 = 15!&div(15-11)! * 11!
Heta Vaghasia said:
8 years ago
Answer will be 72. How 720 came?
Yonatan said:
10 years ago
I can't understand the answer.
Shiva said:
1 decade ago
Why we have taken 5 (4 + 1) ?
Kiran kumar k said:
6 years ago
How you get 5(4+1=5) i.e 5!?
Nabin shah said:
8 years ago
Why do 120 and 6 multiply?
Abhishek said:
8 years ago
I think it should be 3!*4!
Ayush said:
4 years ago
Here 5! = 5*4*3*2*1 = 120.
(8)
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers