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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## A teacher wants to select a team of 5 players from a group tagged by: VJesus12 ##### This topic has 1 expert reply and 0 member replies ### Top Member ## A teacher wants to select a team of 5 players from a group ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A teacher wants to select a team of 5 players from a group of 9 players. However, she needs to keep the following constraints in mind: If Jane is in the team, Sue should also be included in the team and vice versa. In how many ways can the teacher select the team for a tournament? A) 21 B) 35 C) 56 D) 120 E) 126 OA=D Source: e-GMAT ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10129 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi VJesus12, We're told that a teacher wants to select a team of 5 players from a group of 9 players. However, she needs to keep the following constraints in mind: If Jane is in the team, Sue should also be included in the team and vice versa. We're asked for the number of different ways that the teacher can select the team for a tournament. This question is a Combination Formula question with a 'twist': you either need BOTH girls on the team OR you need NEITHER girl on the team. Those two options require slightly different calculations. Combination Formula = N!/K!(N-K)! where N is the total number of people and K is the size of the subgroup. For Jane and Sue to be on the team, those two players would take 2 of the 5 'spots', so the other 3 spots would be chosen from the remaining 7 players... 7!/3!(7-3)! = (7)(6)(5)/(3)(2)(1) = 35 options For NEITHER Jane NOR Sue to be on the team, the 5 'spots' would be chosen from the other 7 players... 7!/5!(7-5)! = (7)(6)/(2)(1) = 21 options Total possible teams = 35 + 21 = 56 Final Answer: C GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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