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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 pod of 6 dolphins always swims single file, with 3 females ##### This topic has 2 expert replies and 0 member replies ### Top Member ## A pod of 6 dolphins always swims single file, with 3 females ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A pod of 6 dolphins always swims single file, with 3 females at the front and 3 males in the rear. In how many different arrangements can the dolphins swim? A. 20 B. 36 C. 40 D. 18 E. 54 OA B Source: Manhattan Prep ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2950 messages Followed by: 19 members Upvotes: 43 Top Reply BTGmoderatorDC wrote: A pod of 6 dolphins always swims single file, with 3 females at the front and 3 males in the rear. In how many different arrangements can the dolphins swim? A. 20 B. 36 C. 40 D. 18 E. 54 OA B Source: Manhattan Prep We are given that a pod of 6 dolphins always swims single file, with 3 females at the front and 3 males in the rear. Thus: The number of ways to arrange the 3 female dolphins in the front is 3! = 3 x 2 x 1 = 6. The number of ways to arrange the 3 male dolphins is in the rear is 3! = 3 x 2 x 1 = 6. Thus, the number of ways to arrange all the dolphins is 6 x 6 = 36 ways. Answer: B _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 2023 messages Followed by: 31 members Upvotes: 470 Top Reply BTGmoderatorDC wrote: A pod of 6 dolphins always swims single file, with 3 females at the front and 3 males in the rear. In how many different arrangements can the dolphins swim? A. 20 B. 36 C. 40 D. 18 E. 54 OA B Source: Manhattan Prep With the given constraint, the 3 females can arrange themselves in 3! = 6 ways; similarly, the 3 males can arrange themselves in 3! = 6 ways. Thus, the total number of ways = 6*6 = 36. The correct answer: B Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | TOEFL Prep Courses San Diego | IELTS Prep Courses Denver | San Francisco ACT Tutoring | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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