Aptitude - Permutation and Combination - Discussion
Discussion Forum : Permutation and Combination - General Questions (Q.No. 4)
4.
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Answer: Option
Explanation:
Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)
= (7C3 x 4C2) | |||||||||
|
|||||||||
= 210. |
Number of groups, each having 3 consonants and 2 vowels = 210.
Each group contains 5 letters.
Number of ways of arranging 5 letters among themselves |
= 5! |
= 5 x 4 x 3 x 2 x 1 | |
= 120. |
Required number of ways = (210 x 120) = 25200.
Video Explanation: https://youtu.be/dm-8T8Si5lg
Discussion:
65 comments Page 7 of 7.
Rahul said:
7 years ago
Why we want to multiply with 5! Please tell me.
(8)
PROBODH said:
8 years ago
The correct answer should be option A.
(2)
Sundeep said:
9 years ago
@Veyron999.
Best explanation.
Best explanation.
Leonardo said:
10 years ago
I don't understand it.
Anil said:
2 decades ago
Why multiply with 5?
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