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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 ## Mr. Jones is the Chairman of a committee. In how many ways tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 1 member reply ### Top Member ## Mr. Jones is the Chairman of a committee. In how many ways ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: EMPOWERgmat Mr. Jones is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that Mr. Jones must be one of them? A. 126 B. 252 C. 459 D. 3024 The OA is A. ### Top Member Junior | Next Rank: 30 Posts Joined 03 Oct 2018 Posted: 10 messages In this question some doubt does arise as to whether Mr.Jones is a part of the 10. Assuming he isn't the answer would be 10C4, which is not among the options. Assuming that Mr.Jones is a member of the 10 and knowing that he must be selected, we have 9 other people who can be selected for 4 spots on the committee. This gives us the answer as 9C4, which is 126 ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 1649 messages Followed by: 14 members Upvotes: 43 BTGmoderatorLU wrote: Source: EMPOWERgmat Mr. Jones is the Chairman of a committee. In how many ways can a committee of 5 be chosen from 10 people given that Mr. Jones must be one of them? A. 126 B. 252 C. 459 D. 3024 Since Mr. Jones must be one of the chosen people, we have to choose 4 from the remaining 9 people for the committee, and the number of ways to do that is: 9C4 = (9 x 8 x 7 x 6)/(4 x 3 x 2) = 3 x 7 x 6 = 126 Answer: A _________________ Scott Woodbury-Stewart Founder and CEO • Award-winning private GMAT tutoring Register now and save up to$200

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