# Play with Polygons

Discrete Mathematics Level 5

For 100 - sided polygon

1. Find the number of 20 sided polygon that can be formed in it by joining its vertices(With no side common with that of 100 - sided polygon).

your answer can be represented as $$a \times \overset { b }{ \underset { c }{ C } }$$ : C is combinatorics symbol

2. Find the number of rectangles that can be formed by joining its vertices(Considering it to be regular(only for this case)). Let it be $$d$$.

3. Find the number of point of intersections of the diagonals in the interior of polygon. Let it be $$e$$.

Enter your answer as $$min$$ { $$a + b + c + d + e$$ }

Try my set : Let's play with polygons

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