The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 41) and (41, 0), is

Engineering

Mathematics

Permutation and Combination Basic Definitions

Question

780

901

820

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x + y < 41, x, y > 0

x + y $\leq$ 40, x, y $\geq$ 1

x + y + z $\leq$ 38, x, y, z $\geq$ 0

Required number of points = ⁴⁰C₂ = 780