MathDB

Crime and Punishmenten by ten by ten grid

Source: 2017 AIME II #14

March 23, 2017

AMCAIMEAIME IICasework

Problem Statement

10\times 10\times 10

grid of points consists of all points in space of the form

(i,j,k)

, where

i

j

, and

k

are integers between

1

and

10

, inclusive. Find the number of different lines that contain exactly

8

of these points.