Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
Choose the most appropriate option:
A) 25200.
B) 26200
C) 28000
D) 29000
E) 30000
Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4)   =7 x 6 x 5/3 x 2 x 1 x	4 x 3	/2 x 1   = 210.   Number of groups, each having 3 consonants and 2 vowels = 210.   Each group contains 5 letters.   Number of ways of arranging   5 letters among themselves	= 5!   = 5 x 4 x 3 x 2 x 1   = 120.   Required number of ways = (210 x 120) = 25200.   25200.nswer: 25200.
<result>A</result>
Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?