1981 AHSME Problems/Problem 22
Problem
How many lines in a three dimensional rectangular coordiante system pass through four distinct points of the form 
, where 
, 
, and 
are positive integers not exceeding four?
$\textbf{(A)}\ 60\qquad\textbf{(B)}\ 64\qquad\textbf{(C)}\ 72\qquad\textbf{(D)}\ 76\qquad\textbf{(E)}\ 100
Solution
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