How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?
Options:
A . 16C7 × 7!
B . 12C4 × 4C3 × 7!
C . 12C3 × 4C4
D . 11C4 × 4C3
Answer: Option B 4 consonants out of 12 can be selected in,12C4 ways. 3 vowels can be selected in 4C3 ways. Therefore, total number of groups each containing 4 consonants and 3 vowels, = 12C4 × 4C3 Each group contains 7 letters, which can be arranging in 7! ways. Therefore required number of words, = 12C4 × 4C3 × 7!
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