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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 ## On a railway route between two places A and B, there are 10 tagged by: mensanumber ##### This topic has 2 expert replies and 1 member reply ## On a railway route between two places A and B, there are 10 On a railway route between two places A and B, there are 10 stations on the way. If 4 new stations are to be added, how many types of new tickets will be required if each ticket is issued for a one-way journey? 1) 108 2) 14 3) 48 4) 96 Master | Next Rank: 500 Posts Joined 15 Oct 2009 Posted: 320 messages Upvotes: 27 Top Reply There are 10+2 = 12 stops along the line before the 4 new stops Each of the 4 new stations then can go back and forth between these 12 stops, so 4x12x2 = 96 new one way tickets Each of the 4 stations can go back and forth between each other. How many ways to select 2 stations from 4 = 4!/2! = 12 Total new one way tickets = 96 + 12 = 108, 1 ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 14929 messages Followed by: 1855 members Upvotes: 13060 GMAT Score: 790 Top Reply mensanumber wrote: On a railway route between two places A and B, there are 10 stations on the way. If 4 new stations are to be added, how many types of new tickets will be required if each ticket is issued for a one-way journey? 1) 108 2) 14 3) 48 4) 96 Current number of ticket options: There are currently 12 stops: A, B, and the 10 stops between them. Number of options for the departure stop = 12. Number of options for the arrival stop = 11. To combine these options, we multiply: 12*11 = 132. New number of ticket options: After 4 stops are added, the total number of stops will increase from 12 to 16. Number of options for the departure stop = 16. Number of options for the arrival stop = 15. To combine these options, we multiply: 16*15 = 240. New types of tickets: (new number of ticket options) - (current number of ticket options) = 240 - 132 = 108. The correct answer is (1). _________________ 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 09 Apr 2015 Posted: 1461 messages Followed by: 17 members Upvotes: 39 mensanumber wrote: On a railway route between two places A and B, there are 10 stations on the way. If 4 new stations are to be added, how many types of new tickets will be required if each ticket is issued for a one-way journey? 1) 108 2) 14 3) 48 4) 96 With 10 stations between A and B, the current route has 10 + 2 = 12 stations. Thus the current number of tickets for a one-way journey between two stations is 12P2 = 12 x 11 = 132. With the 4 new stations added, the number of tickets for a one-way journey between two stations will be 16P2 = 16 x 15 = 240 = (14 x 13)/2. Thus, the number of new tickets needed to be issued is 240 - 132 = 108. Answer: A _________________ Jeffrey Miller Head of GMAT Instruction • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE 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 • FREE GMAT Exam Know how you'd score today for$0

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