Out of 8 consonants and 4 vowels, how many words of 3 consonants and 1 vowels can be formed?	Choose the most appropriate option.
A) 21005  B) 10500  C) 25200  D) 5376  E) None of these
Solution   Number of ways of selecting (3 consonants out of 8) and (1 vowels out of 4)   8c3 x 4c1= (8x7x6/3x2x1)x(4/1) =224   Number of group,each having 3 consonants and 1 vowels = 224 .   Each group contains 4 letter.   Number of ways of arranging 5 letters among themselves   = 4 ! = (4 × 3 × 2 × 1) = 24 .   So, Required number of words = (24 × 224) = 5376 .Answer 5376
<result>D</result>
Out of 8 consonants and 4 vowels, how many words of 3 consonants and 1 vowels can be formed?