SOLUTION TO PROBLEM 10

Two diagonals intersect at a point interior to the polygon if and only if their endpoints are distinct vertices of the polygon and form a convex quadrilateral. The maximum number of distinct quadrilaterals one can form this way is

$$\binom{n}{4}=\frac{n!}{4!(n-4)!}.$$

Questions and/or comments should be directed to Judy Downey or Griff Elder
 

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Last modified:   Fri Mar 23 19:13:46 CST 2001