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

Question

Mathematics

Edith Mcbride

15 July, 02:00

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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Answers (1)

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Rosa Henson · Answer 1

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