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From 5 consonants and 4 vowels, how many words can be formed using 3 consonants and 2 vowels ?

Correct Answer: 7200

Explanation:

From 5 consonants, 3 consonants can be selected in  5 C 3  ways.


 


From 4 vowels, 2 vowels can be selected in  4 C 2  ways.


 


Now with every selection, number of ways of arranging 5 letters is 5 P 5 ways.


 


Total number of words =  5 C 3 * 4 C 2 * 5 P 5


 


                                = 10x 6 x 5 x 4 x 3 x 2 x 1= 7200


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