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The number of ways in which we can choos...

The number of ways in which we can choose a committee from four men and six women, so that the committee includes atleast two men and exactly twice as many women as men is

A

94

B

126

C

128

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`because` Number of men = 4
and number of women = 6
It is given that committee includes two men and exactly twice as many women as men.
Thus, possible selection is given in following table
`{:("Men" , "Women"),(2, " "4),(3, " "6):}`
Required number of committee formed `= ""^(4)C_(2) xx ""^(6)C_(4) + ""^(4)C_(3) xx ""^(6)C_(6)`
`= 6 xx 15 + 4 xx 1 = 94`
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