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Q: How many three person relay teams can be chosen from six students?
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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


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