Q.

Out of 7 consonants and 4 vowels, words are formed each having 3 consonants and 2 vowels. The number of such words that can be formed is:

1 210  
2 25200  
3 2520  
4 302400  

Ans.

(2)

3 out of 7 consonants can be chosen in C37 ways and 2 out of 4 vowels can be chosen in C24 ways.

∴    Total no. of words that can be formed =C37×C24×5!

                                                                                 =25200