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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 certain gallery is hanging a series tagged by: VJesus12 ##### This topic has 1 expert reply and 0 member replies ## A certain gallery is hanging a series A certain gallery is hanging a series of 7 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row? A. 240 B. 200 C. 122 D. 80 E. 16 The OA is A. What is the formula that I should use to get the answer? I tried to solve it but I couldn't. Experts, I need your help. Thanks. ### GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 121 members Upvotes: 1153 GMAT Score: 770 Top Reply VJesus12 wrote: A certain gallery is hanging a series of 7 paintings. All the paintings will be exhibited in a row along a single wall. Exactly 2 of the paintings are on panel, the remainder are on canvas. In how many ways can the paintings be exhibited if the works on panel must be the second and sixth in the row? A. 240 B. 200 C. 122 D. 80 E. 16 The OA is A. What is the formula that I should use to get the answer? I tried to solve it but I couldn't. Experts, I need your help. Thanks. If there are two paintings on panel, and there are two spots were we can place them, then there are 2! = 2 ways we can place those paintings. If there are five paintings on canvas, and there are 5 remaining spots where these paintings can be placed, there are 5! = 120 ways we can place those paintings. 2*120 = 240. The answer is A _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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