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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 ## An automobile manufacturer offers a station wagon with tagged by: BTGmoderatorLU ##### This topic has 3 expert replies and 0 member replies ### Top Member ## An automobile manufacturer offers a station wagon with ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: GMAT Prep An automobile manufacturer offers a station wagon with either a 6-cylinder engine or a 4-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 6-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon? A. 3 B. 4 C. 5 D. 6 E. 8 The OA is D. ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1461 messages Followed by: 27 members Upvotes: 470 BTGmoderatorLU wrote: Source: GMAT Prep An automobile manufacturer offers a station wagon with either a 6-cylinder engine or a 4-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 6-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon? A. 3 B. 4 C. 5 D. 6 E. 8 The OA is D. Total number of combinations with 6-cylinder engine wagons = 2*2 = 4 (manual or automatic and with or without a trailer hitch); Total number of combinations with 4-cylinder engine wagons = 2 (manual or automatic) Total Total number of combinations with = 4 + 2 = 6 The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: New York | Beijing | Auckland | Milan | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 1643 messages Followed by: 14 members Upvotes: 43 BTGmoderatorLU wrote: Source: GMAT Prep An automobile manufacturer offers a station wagon with either a 6-cylinder engine or a 4-cylinder engine and with either a manual transmission or an automatic transmission. A trailer hitch is also offered, but only on a station wagon with a 6-cylinder engine. How many combinations of the five options listed does the manufacturer offer for its station wagon? A. 3 B. 4 C. 5 D. 6 E. 8 We are given that an automobile manufacturer offers a station wagon with the following: 1) 6-cylinder engine or 4-cylinder engine 2) manual transmission or automatic transmission 3) trailer hitch - only with a 6-cylinder engine. We need to determine the number of possible combinations. So, we have 2 possible scenarios: Scenario #1: 6-cylinder engine (1 option) manual or automatic transmission (2 options) trailer hitch or no trailer hitch (2 options) Thus, for scenario #1, there are 1 x 2 x 2 = 4 possible options. Scenario #2: 4-cylinder engine (1 option) manual or automatic transmission (2 options) Thus, for scenario #2, there are 1 x 2 = 2 possible options. The total number of combinations is 4 + 2 = 6. Alternate solution: By looking at the answer choices, we see that the largest number is 8. That means it wonâ€™t be more than 8 combinations. Therefore, we could list each possible outcome. Letâ€™s use the following shorthand: 6c for 6-cylinder engine, 4c for 4-cylinder engine, m for manual transmission, a for automatic transmission, t for trailer hitch, and n for no trailer hitch. We have: 1) 6c-m-n 2) 6c-m-t 3) 6c-a-n 4) 6c-a-t 5) 4c-m-n 6) 4c-a-n Recall that a trailer hitch canâ€™t be on a station wagon with a 4-cylinder engine, so we canâ€™t have 4c-m-t and 4c-a-t. Thus, there are only 6 combinations. Answer: D _________________ Scott Woodbury-Stewart Founder and CEO ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 9836 messages Followed by: 490 members Upvotes: 2867 GMAT Score: 800 Hi All, Sometimes Combination Formula questions come with answers that are relatively small. In this prompt, we know that there are at least 3 options, but no more than 8 options. In these situations, it's usually pretty easy to "map out" all of the possible combinations, without having to do any special math. We're told that a station wagon has a variety of 'traits': 1) Either a 6-cylinder engine or a 4-cylinder engine 2) Either a manual transmission or an automatic transmission 3) A trailer hitch (but ONLY on a 6-cylinder engine) We're asked for the number of different combinations of traits on a station wagon. We can list them out: 6 cyl and manual 6 cyl and manual and hitch 6 cyl and automatic 6 cyl and automatic and hitch 4 cyl and manual 4 cyl and automatic Total combinations = 6 Final Answer: D GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 5 Day FREE Trial Study Smarter, Not Harder 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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