Brent’s after-school game club has 12 members from which a six-member team is created. Miguel’s after-school sports club has 10 members from which a six-member team is created.Which student’s club has more possible combinations for his six-member team?

A team is chosen without regard to order, so use combinations. Brent’s club has C(12, 6) = 924 possible teams, while Miguel’s club has C(10, 6) = 210. Since 924 is greater than 210, Brent’s club has more possible team combinations because there are more members to choose from.

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