Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? Pick one.
A) 210 B) 1050 C) 25200 D) 21400 E) None
Solution   Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)   7C3x 4C2 = ( 7x 6x5/3x2x1x 4x 3/2x1 ) = 210   Number of group,each having 3 consonants and 2 vowels = 201 .   Each group contains 5 letter.   Number of ways of arranging 5 letters among themselves   = 5 ! = (5 × 4 × 3 × 2 × 1) = 120 .   So, Required number of words = (210 × 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?