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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 cosmetics company would like to market a six-item gift tagged by: swerve ##### This topic has 3 expert replies and 0 member replies ### Top Member ## A cosmetics company would like to market a six-item gift ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of the potential bundles have already been eliminated from consideration, how many potential bundles are still being considered? A. 147 B. 161 C. 175 D. 182 E. 210 The OA is B Source: Veritas Prep ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15203 messages Followed by: 1861 members Upvotes: 13060 GMAT Score: 790 swerve wrote: A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of the potential bundles have already been eliminated from consideration, how many potential bundles are still being considered? A. 147 B. 161 C. 175 D. 182 E. 210 From 10 items, the number of ways to choose a bundle of 6 = 10C6 = (10*9*8*7*6*5)/(6*5*4*3*2*1) = 210. Subtracting the 49 bundles already eliminated from consideration, we get: 210-49 = 161. The correct answer is B. _________________ 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. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2244 messages Followed by: 17 members Upvotes: 43 swerve wrote: A cosmetics company would like to market a six-item gift basket bundle from a set of ten possible items. If 49 of the potential bundles have already been eliminated from consideration, how many potential bundles are still being considered? A. 147 B. 161 C. 175 D. 182 E. 210 The OA is B Source: Veritas Prep \ We first can determine how many 6-item bundles can be created from 10 items. 10C6 = 10!/(6!4!) = (10 x 9 x 8 x 7)/(4 x 3 x 2 x 1) = 5 x 3 x 2 x 7 = 210 Since 49 bundles have been removed from consideration, 210 - 49 = 161 bundles are still being considered. Answer: B _________________ Scott Woodbury-Stewart Founder and CEO ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10111 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that a cosmetics company would like to market a 6-item gift basket bundle from a set of 10 possible items, but 49 of the potential bundles have already been eliminated from consideration. We're asked for the total number of potential bundles that are still being considered. This question is essentially a 'Combination Formula' question, but there's a great Number Property shortcut that you can use to avoid most of the math... Choosing 6 items from a group of 10 = 10c6 = (10!)/(6!)(4!). Since this is a Combination Formula calculation, we know that the end result will be an INTEGER. While that fraction will simplify, we can prove rather quickly that the "10" in the numerator will NOT 'cancel out'.... so the total number of options will be a MULTIPLE OF 10. When you subtract a number that ends in a '9' (in this case: 49) from a number that ends in a '0'.... you end up with a number that ends in a '1.' There's only one answer that matches... Final Answer: B GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE 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 • Award-winning private GMAT tutoring Register now and save up to$200

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