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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 ## In how many ways can a coach select a 4-person university te tagged by: Brent@GMATPrepNow ##### This topic has 2 expert replies and 0 member replies ## In how many ways can a coach select a 4-person university te In how many ways can a coach select a 4-person university team from a pool of eligible candidates? (1) The number of eligible candidates is three times as great as the number of slots on the team. (2) 60% of the 20 athletes are eligible to play on the four-person university team. What's the best way to determine whether statement 1 is sufficient? Can any experts help? ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12435 messages Followed by: 1244 members Upvotes: 5254 GMAT Score: 770 Top Reply ardz24 wrote: In how many ways can a coach select a 4-person university team from a pool of eligible candidates? (1) The number of eligible candidates is three times as great as the number of slots on the team. (2) 60% of the 20 athletes are eligible to play on the four-person university team. Target question: In how many ways can a coach select a 4-person university team from a pool of eligible candidates? This is a great candidate for rephrasing the target question. In order to determine the number of ways to select a 4-person university team, we need to know the number of eligible candidates. Let's let n = the number of eligible candidates Once we know the value of n, then the total number of ways to select a 4 people will equal nC4 So, let's REPHRASE the target question.... REPHRASED target question: What is the value of n? Aside: Hereâ€™s a video with tips on rephrasing the target question: http://www.gmatprepnow.com/module/gmat-data-sufficiency?id=1100 Statement 1: The number of eligible candidates is three times as great as the number of slots on the team. There are 4 available "slots" So, we can write: n = (3)(4) In other words, n = 12 (there are 12 eligible candidates) Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT Statement 2: 60% of the 20 athletes are eligible to play on the four-person university team. In other words, 60% of 20 = n Solve, to get n = 12 (there are 12 eligible candidates) Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT Answer: D Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1461 messages Followed by: 17 members Upvotes: 39 ardz24 wrote: In how many ways can a coach select a 4-person university team from a pool of eligible candidates? (1) The number of eligible candidates is three times as great as the number of slots on the team. (2) 60% of the 20 athletes are eligible to play on the four-person university team. To determine the number of ways a coach can select a 4-person university team from a pool of eligible candidates, we need to determine the number of candidates. Statement One Alone: The number of eligible candidates is three times as great as the number of slots on the team. Since the number of slots for the team is 4, the number of eligible candidates is 12. Thus, there are 12C4 ways to select the team. Statement one alone is sufficient to answer the question. Statement Two Alone: 60% of the 20 athletes are eligible to play on the four-person university team. The number of eligible athletes is 0.6 x 20 = 12. Thus, there are 12C4 ways to select the team. Statement two alone is sufficient to answer the question. Answer: D _________________ Jeffrey Miller Head of GMAT Instruction • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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