2. A lattice point is a point with integer coordinates such as (3,1). In how many ways can we pick 3 lattice points such that the coordinates of each point are positive integers less than 5, and the three points form a nondegenerate triangle?

2. A lattice point is a point with integer coordinates such as (3,1). In how many ways can we pick 3 lattice points such that the coordinates of each point are positive integers less than 5, and the three points form a nondegenerate triangle?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.4: Mathematical Induction

Problem 46E

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Question

2. A lattice point is a point with integer coordinates such as (3,1). In how many ways can we pick 3 lattice points
such that the coordinates of each point are positive integers less than 5, and the three points form a
nondegenerate triangle?

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