Arithmetic Ability
Permutations and Combinations

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Q.

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

View Answer

Correct choice: B

Explanation:

From 5 consonants, 3 consonants can be selected in 5C3 ways. From 4 vowels, 2 vowels can be selected in 4C2 ways. Now with every selection, number of ways of arranging 5 letters is 5P5ways. Total number of words = 5C3*4C2*5P5 = 10x 6 x 5 x 4 x 3 x 2 x 1= 7200
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