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Find the no. of triangles

Source: INMO 1994 Problem 4

October 6, 2005
combinatorics unsolvedcombinatorics

Problem Statement

Find the number of nondegenerate triangles whose vertices lie in the set of points (s,t)(s,t) in the plane such that 0≤s≤40 \leq s \leq 4, 0≤t≤40 \leq t \leq 4, ss and tt are integers.
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