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Earn +20 ptsQ: How many three person relay teams can be chosen from six students?
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How many different basketball teams of 5 people can be chosen from 10 people?
252 teams.
How many three-person relay teams can be chosen from six students?
Any 3 from 6 is 6!/(3! x 3!) ie 720/36 which is 20: ABC/ABD/ABE/ABF/ACD/ACE/ACF/ADE/ADF/AEF/ BCD/BCE/BCF/BDE/BDF/BEF/CDE/CDF/CEF/DEF. If the order in which they can run is taken into account then that 20 must be multiplied by 6 viz: ABC/ACB/BAC/BCA/CAB/CBA etc
How many different 3 member teams can be formed from a group of 6 students?
18
If Twenty five students are to be divided into teams of equal size?
Five groups of five people. Simple math my dear.
How many different teams of 5 children can be chosen from a group of 18 girls and 7 boys?
I figured out the answer: 18+7 = 25, So 25C5 = 53,130 Teams. This assumes there are no sex restrictions on the teams (for example, "teams must include at least one boy and at least one girl"). That would be a lot more complicated, and if that's a factor you'd need to specify exactly what the restrictions are.
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