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

Correct Answer: 25200

Explanation:

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


= 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! = 120 


 


Required number of ways = (210 x 120) = 25200.


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