A probability problem by Anish Rao

Probability Level pending

The maximum number of points formed by intersection of all pairs of diagonals of a convex octagon is

80 400 195 70

1 solution

Anish Rao
Oct 4, 2015

For two diagonals to intersect, one needs four vertices and there are 8 vertices in an octagon. The problem then reduces to selecting 4 out of 8 vertices which is given as -

$^{ 8 }{ { C } }_{ 4 }\quad =\quad \frac { 8! }{ 4!\times 4! } \\ \qquad =\quad 70$

A probability problem by Anish Rao

1 solution

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