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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 ## Cannot get a proper solution for this one ##### This topic has 1 expert reply and 1 member reply ## Cannot get a proper solution for this one Club Number of Students Chess 40 Drama 30 Math 25 The table above shows the number of students in three clubs at McAuliffe School. Although no student is in all three clubs, 10 students are in both chess and drama, 5 students are in both chess and math, and 6 students are in both drama and math. How many different students are in the three clubs? (A) 68 (B) 69 (C) 74 (D) 79 (E) 84 Senior | Next Rank: 100 Posts Joined 01 Jun 2012 Posted: 89 messages Followed by: 2 members Upvotes: 6 Answer is C ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15387 messages Followed by: 1872 members Upvotes: 13060 GMAT Score: 790 Architj wrote: Club Number of Students Chess 40 Drama 30 Math 25 The table above shows the number of students in three clubs at McAuliffe School. Although no student is in all three clubs, 10 students are in both chess and drama, 5 students are in both chess and math, and 6 students are in both drama and math. How many different students are in the three clubs? (A) 68 (B) 69 (C) 74 (D) 79 (E) 84 One formula for 3 overlapping groups: T = A + B + C - (AB + AC + BC) - 2(ABC) The big idea with overlapping group problems is to SUBTRACT THE OVERLAPS. When we add together everyone in A, everyone in B, and everyone in C: Those in exactly 2 of the groups (AB+AC+BC) are counted twice, so they need to be subtracted from the total ONCE. Those in all 3 groups (ABC) are counted 3 times, so they need to be subtracted from the total TWICE. By subtracting the overlaps, we ensure that no one is overcounted. In the problem above: Let total = T. Chess = 40. Drama = 30. Math = 25. Exactly 2 of the groups = 10+5+6. All 3 groups = 0. Plugging these values into the formula, we get: T = 40 + 30 + 25 - (10+5+6) - 2*0 T = 74. The correct answer is C. Similar problem: http://www.beatthegmat.com/og-13-178-virtual-reality-t111188.html _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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