Difference between revisions of "1981 AHSME Problems/Problem 22"

(Created page with "==Problem== How many lines in a three dimensional rectangular coordiante system pass through four distinct points of the form <math>(i,j,k)</math>, where <math>i</math>, <math...")
(No difference)

Revision as of 11:19, 14 June 2021

Problem

How many lines in a three dimensional rectangular coordiante system pass through four distinct points of the form $(i,j,k)$, where $i$, $j$, and $k$ 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

No solutions yet!