Combinatories

1:

Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to

A.

3600

B.

120

C.

7200

D.

None of these

 

Answer : A

Explanation :

3 consonants out of 5 can be selected in 5C3 ways.
2 vowels out of 4 can be selected in 4C2 ways.
Therefore, total number of groups each containing 3 consonants and 2 vowels =  5C * 4C2 = 5*6=30
Each group contains 5 letters, which can be arranging in 5! ways.

Therefore required number of words = 30* 5! = 3600

 

 

Anil Parajuli said: (7:45pm on Tuesday 4th August 2015)
5C3*4C2=10*6=6060*5!=7200

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Option: A

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