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Write the total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants.
A. 60
B. 120
C. 7200
D. 720

1 Answer

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Correct Answer - C
Given that, total number of vowels = 4
and total number of consonants = 5
Total number of words formed by 2 vowels and 3 consonants
`= ""^(4)C_(2) xx ""^(5)C_(3) = (4"!")/(2"!"2"!") xx (5"!")/(3"!"2"!")`
`= (4 xx 3"!")/(2"!"2"!") xx (5 xx 4 xx 3 xx 2"!")/(3"!" xx 2"!") = (4 xx 5 xx 4 xx 3)/(4)`
`=5 xx 4 xx 3 = 60`
Choose what order they appear in `5"!"` i.e., 120.
So, total number of words `= 60 xx 120 = 7200`

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