Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Choose the correct choice from the following:
A) 3100
B) 210
C) 21300
D) 25200
E) 24400
Number of ways of selecting 3 consonants from 7 =7C3   Number of ways of selecting 2 vowels from 4 = 4C2   Number of ways of selecting 3 consonants from 7 and 2 vowels from 4   = 7C3 × 4C2   = 210   It means we can have 210 groups where each group contains total 5 letters (3 consonants and 2 vowels).   Number of ways of arranging 5 letters among themselves   =5! = 5*4*3*2*1= 
<gadget id="calculator">5*4*3*2*1</gadget>
<output>120</output>
120   Hence, required number of ways=210×120=25200   option - 25200
<result>D</result>
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?