Latest CAT Aptitude Question SOLUTION: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? A. 210 B. 1050 C. 25200 D. 21400 E. None of these

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(#M40003013) CAT Numerical Ability question Keep an EYE

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

A. 210 B. 1050
C. 25200 D. 21400
E. None of these

Asked In CAT jai Narayan Mishra (12 years ago)

Unsolved Read Solution (4)

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Read Solution (4) :

daya  (12 years ago)

ans-(C)
3 consonents r selected from 7 cons. is 7c3
2 vowels are selected from 4 vowels is 4c2
and these 5 words can arranged in 5!
recquired no of ways - (7C3 x 4C2)*5!=(210 x 120) = 25200

Is this solution Helpfull? Yes (28) | No (9)  

yamini  (10 years ago)

c:25200
=7c3*4c2*5!

Is this solution Helpfull? Yes (4) | No (2)  

ANUJ MAURYA  (12 years ago)

no of words= 7c3*4c2
= 35*6
= 210

Is this solution Helpfull? Yes (2) | No (19)  

yashwanth  (8 years ago)

Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)

= (7C3 x 4C2)
= 7 x 6 x 5 x 4 x 3
3 x 2 x 1 2 x 1
= 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.

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