Out of 10 consonants and 3 vowels, how many words of 3 consonants and 2 vowels can be formed?
Pick:
A) 79200
B) 1050
C) 25200
D) 21400
E) None of these
Solution   Number of ways of selecting (3 consonants out of 10) and (2 vowels out of 3)   10c3 x 3c2= (10x9x8/3x2x1)x(3/1) =660   Number of group,each having 3 consonants and 2 vowels = 660 .   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 = (660 × 120) = 79200 .79200nswer 79200
<result>A</result>
Out of 10 consonants and 3 vowels, how many words of 3 consonants and 2 vowels can be formed?