In how many ways can 6 people be selected from 7 men and 8 women if the selection must have a majority of women?

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10-05-2018
Mathematics

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In how many ways can 6 people be selected from 7 men and 8 women if the selection must have a majority of women?

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jushmk jushmk · Answer 1 · 2018-05-20T18:05:33+02:00

jushmk jushmk

20-05-2018

Number of men = 7
Number of women = 8
Number of people to be selected = 6
Condition: Women must be majority

Options: 6 women, 0 men; 5 women, 1 man; 4 women, 2 men

Number of ways = [(8C6)*(7C0)]+[(8C5)*(7C1)]+[(8C4)*(7C2)] = 28+392+1470 = 1890 ways

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