Out of 4 consonants and 2 vowels, how many words of 3 consonants and 1 vowel can be formed?  Choose the correct option:
A) 192
B) 950
C) 252
D) 2150
E) None of these
Solution   Number of ways of selecting (3 consonants out of 4) and (1 vowel out of 2)   4c3 x 2c1= (4/1)x(2/1) =8   Number of group,each having 3 consonants and 1 vowel = 8 .   Each group contains 4 letter.   Number of ways of arranging 4 letters among themselves   = 4 ! = ( 4 × 3 × 2 × 1) = 24 .   So, Required number of words = (24 × 8) = 192 .192nswer 192
<result>A</result>
Out of 4 consonants and 2 vowels, how many words of 3 consonants and 1 vowel can be formed?