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I'm going with 25,200 3 men out of 10 may be chosen in 10C3 ways = 10 ! / 3! 7 ! = 120 ways. 4 women may be chosen out of 10 in 10C4 = 10 ! / 4! 6! ways = 210 ways. Therefore, a committee with 3 men and 4 women can be formed in 120 x 210 = 25,200 ways.

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Mariama Diallo

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If the police have 7 suspects, how many different ways can they select 5 for a lineup?

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Q: In how many ways can a committee of three men and four women be formed from a group of 10 men and 10 women?
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