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A club has 8 male and 8 female members, the club is choosing a committee of 6 members. The committee must have 3 male and 3 female members. In how many ways can the committee chosen?

A club has 8 male and 8 female members, the club is choosing a committee of 6 members. The committee must have 3 male and 3 female members. In how many ways can the committee chosen? Correct Answer 3,136

Since there are 8 male and female membersand we need to choose 3 members each for the committee,we could choose them as follows: 8c3∗8c3 = 562 = 3136

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