Permutation and CombinationMedium
Question
Out of seven consonants and four vowels, the number of words of six letters, formed by taking four consonants and two vowels is (Assume that each ordered group of letter is a word) -
Options
A.210
B.462
C.151200
D.332640
Solution
Number of selections of 4 consonants out of 7 is 7C4
Number of selections of 2 vowels from 4 is 4C2
Arrangement of words in 6! ways
Desired words : 7C4 × 4C2 × 6! = 151200
Number of selections of 2 vowels from 4 is 4C2
Arrangement of words in 6! ways
Desired words : 7C4 × 4C2 × 6! = 151200
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