Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? Choose the most appropriate option
A) 210 B) 1050 C) 25200 D) 21400 E) None of these
Number of ways of selecting 3 consonants out of 7 and 2 vowels out of 4 = 7C3 x 4C2 = (7x6x5)/(3x2x1) x (4x3)/(2x1) = 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! = 5x4x3x2x1 = 120   Therefore the required number of words = 210 x 120 = 25200.   Answer 25200.
<result>C</result>
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?