Out of 5 consonants and 3 vowels, how many words of 4 consonants and 2 vowels can be formed?  Options.
A) 21000
B) 10500
C) 25200
D) 10800
E) None of these
Solution   Number of ways of selecting (4 consonants out of 5) and (2 vowels out of 3)   5c4 x 3c2= (5/1)x(3/1) =15   Number of group,each having 4 consonants and 2 vowels = 15   Each group contains 6 letter.   Number of ways of arranging 5 letters among themselves   = 5 ! = (6 x 5 × 4 × 3 × 2 × 1) = 720 .   So, Required number of words = (720 × 15) = 10800 .Answer 10800
<result>D</result>
Out of 5 consonants and 3 vowels, how many words of 4 consonants and 2 vowels can be formed?