A department had 8 male and female employees each. A project team involving 3 male and 3 female members needs to be chosen from the department employees. How many different projects teams can be chosen?

Q: A department had 8 male and female employees each. A project team involving 3 male and 3 female members needs to be chosen from the department employees. How many different projects teams can be chosen?

Total ways = 8 C 3 x 8 C 3 = (8 x 7 x 6)/(3 x 2) x (8 x 7 x 6)/(3 x 2) = 56 x 56 = 3136

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Accepted Answer

Total ways = ⁸C₃ x ⁸C₃
= (8 x 7 x 6)/(3 x 2) x (8 x 7 x 6)/(3 x 2)
= 56 x 56 = 3136

A department had 8 male and female employees each. A project team involving 3 male and 3 female members needs to be chosen from the department employees. How many different projects teams can be chosen?

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