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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 ## Permutations and Combination tagged by: BTGmoderatorRO ##### This topic has 1 expert reply and 1 member reply ## Permutations and Combination Four female friends & four male friends will be pictured in a advertising photo. If the photographer wants to line them up in one row, with men & women alternating. How many possible arrangements may she chose? A. 40320 B. 1680 C. 1152 D. 576 E. 70 OA is C Could some expert pls elaborate on C, did some wrong calculations here. Master | Next Rank: 500 Posts Joined 29 Nov 2017 Posted: 100 messages Upvotes: 14 Roland2rule wrote: Four female friends & four male friends will be pictured in a advertising photo. If the photographer wants to line them up in one row, with men & women alternating. How many possible arrangements may she chose? A. 40320 B. 1680 C. 1152 D. 576 E. 70 OA is C Could some expert pls elaborate on C, did some wrong calculations here. Four males can be arranged in 4! ways and four females can also be arranged in 4! ways With males on the left side of females the number of ways are 4! X 4! = 576. With males on the right side of females the number of ways are 4! X 4! = 576. => Total number of ways = 576+576= 1152 Hence C is the correct option ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello Roland2rule. Let's see your question. We have to arrange 4 woman and 4 men. We have 8 places: _ _ _ _ _ _ _ _. The possible arrangements are MWMWMWMW or WMWMWMWM. The total possibles options are: 1) for MWMWMWMW = 4*4*3*3*2*2*1*1 = 4!*4! = 576. 2) for WMWMWMWM = 4*4*3*3*2*2*1*1 = 4!*4! = 576. So, the answer total number is 576+576 = 1152. This is why the correct answer is C. I hope this explanation helps you. I'm available if you'd like a follow-up. Regards. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep 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 • Award-winning private GMAT tutoring Register now and save up to$200

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