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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 There are 10 points on a circle. A hexagon . . . . . tagged by: Vincen This topic has 1 expert reply and 0 member replies There are 10 points on a circle. A hexagon . . . . . There are 10 points on a circle. A hexagon can be formed by linking 6 of the 10 points. How many such hexagons are possible? A. 60 B. 120 C. 200 D. 210 E. 600 The OA is the option D. How can I get the total number of hexagons? I don't know how can I count all the hexagons. Thanks in advanced. GMAT/MBA Expert Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 Top Reply Vincen wrote: There are 10 points on a circle. A hexagon can be formed by linking 6 of the 10 points. How many such hexagons are possible? A. 60 B. 120 C. 200 D. 210 E. 600 The OA is the option D. How can I get the total number of hexagons? I don't know how can I count all the hexagons. Thanks in advanced. Mathematically, this question is identical to asking, "In a group of 10 students, 6 must be chosen to form a sub-comittee. How many 6-person subcommittees are possible." The upshot is that we're selecting 6 elements from a population of 10 and order doesn't matter, so we're looking for 10C6: (10*9*8*7*6*5)/6! = (10*9*8*7*6*5)/6*5*4*3*2*1 (terms in red cancel)= (10*9*8*7*5)/5*4*3*2*1 = 9*8*7*5/4*3*1 = 3*2*7*5 = 210. _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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