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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 ## Talk show host Ralph Burke has exactly one guest on his show ##### This topic has 2 expert replies and 1 member reply ### Top Member ## Talk show host Ralph Burke has exactly one guest on his show ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Talk show host Ralph Burke has exactly one guest on his show each day, and Burkeâ€™s show airs every.Monday through Friday. Burke always schedules politicians on Mondays and Wednesdays, actors on Tuesdays and athletes on Thursdays, but can have a guest of any one of these three kinds on Friday. No guest appears more than once per week on Burkeâ€™s show. If Burke has five politicians, three actors and six athletes he could invite, and if no politician is also an actor or an athlete and no actor is also an athlete, how many different schedules of guests from Monday to Friday could Burke create? A) 30 B) 1,200 C) 3,600 D) 4,500 E) 6,300 OA C Source: Princeton Review ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1461 messages Followed by: 27 members Upvotes: 470 BTGmoderatorDC wrote: Talk show host Ralph Burke has exactly one guest on his show each day, and Burkeâ€™s show airs every Monday through Friday. Burke always schedules politicians on Mondays and Wednesdays, actors on Tuesdays and athletes on Thursdays, but can have a guest of any one of these three kinds on Friday. No guest appears more than once per week on Burkeâ€™s show. If Burke has five politicians, three actors and six athletes he could invite, and if no politician is also an actor or an athlete and no actor is also an athlete, how many different schedules of guests from Monday to Friday could Burke create? A) 30 B) 1,200 C) 3,600 D) 4,500 E) 6,300 OA C Source: Princeton Review We have 5 politicians, 3 actors, and 6 athletes The guest order would be as following: Monday: Politicians => Any of the 5 politicians can be invited => Number of ways = 5; Tuesday: Actors => Any of the 3 actors can be invited => Number of ways = 3; Wednesday: Politicians => Any of the 4 remaining politicians can be invited => Number of ways = 4; (It is given that a guest cannot be repeated) Thursday: Athletes => Any of the 6 athletes can be invited => Number of ways = 6; Friday: Any guest => Any of the remaining 10 guests can be invited => Number of ways = 10; (There are a total of 5 + 3 + 6 = 14 probables and 4 of them are already invited, so the remaining probables = 14 - 4 = 10) Total number of ways = 5*3*4*6*10 = 3600 ways The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: New York | Vienna | Kuala Lumpur | Sydney | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### Top Member Legendary Member Joined 29 Oct 2017 Posted: 614 messages Followed by: 4 members five politicians, three actors, and six athletes. Politicians on two days - 5*4(since no guest appear more than once) Actors one day - 3 Athlete one day - 6 Therefore - 5*4*3*6 = 360 ways and for the remaining one day, it could be anyone of the remaining politician or athlete, or an actor. which is 3+2+5 = 10. Multiplying 360 * 10 - 3600 ways. Hence C. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 1649 messages Followed by: 14 members Upvotes: 43 BTGmoderatorDC wrote: Talk show host Ralph Burke has exactly one guest on his show each day, and Burkeâ€™s show airs every.Monday through Friday. Burke always schedules politicians on Mondays and Wednesdays, actors on Tuesdays and athletes on Thursdays, but can have a guest of any one of these three kinds on Friday. No guest appears more than once per week on Burkeâ€™s show. If Burke has five politicians, three actors and six athletes he could invite, and if no politician is also an actor or an athlete and no actor is also an athlete, how many different schedules of guests from Monday to Friday could Burke create? A) 30 B) 1,200 C) 3,600 D) 4,500 E) 6,300 On Monday there are 5 options (politicians), Tuesday 3 options (actors), Wednesday 4 options (politicians, but only 4 of them), Thursday 6 options (athletes), and Friday 10 options (since he can select from 3 politicians, 2 actors, and 5 athletes). Thus, the total number of guest schedules for the week is 5 x 3 x 4 x 6 x 10 = 3,600. Answer: C _________________ Scott Woodbury-Stewart Founder and CEO • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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