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In how many ways can a committee consisting of 3 men and 2 women be formed from 7 men and 5 women ?A. 45B. 350C. 700D. 4200

Answer» Correct Answer - B
Total no of Men = 7
Total no. of women = 5
Required number of ways `= .^(7)C_(3) xx .^(5)C_(2)`
`= (7!)/(3!4!) xx (5!)/(2!3!) = (7 xx 6 xx 5)/(3 xx 2) xx (5 xx 4)/(2)`
`= 7 xx 5 xx 10 = 35 xx 10 = 350`


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