Difference between revisions of "1981 AHSME Problems/Problem 22"
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==Problem== | ==Problem== | ||
| − | How many lines in a three dimensional rectangular | + | How many lines in a three dimensional rectangular coordinate system pass through four distinct points of the form <math>(i, j, k)</math>, where <math>i</math>, <math>j</math>, and <math>k</math> are positive integers not exceeding four? |
<math>\textbf{(A)}\ 60\qquad\textbf{(B)}\ 64\qquad\textbf{(C)}\ 72\qquad\textbf{(D)}\ 76\qquad\textbf{(E)}\ 100</math> | <math>\textbf{(A)}\ 60\qquad\textbf{(B)}\ 64\qquad\textbf{(C)}\ 72\qquad\textbf{(D)}\ 76\qquad\textbf{(E)}\ 100</math> | ||
Revision as of 03:34, 14 June 2022
Problem
How many lines in a three dimensional rectangular coordinate system pass through four distinct points of the form 
, where 
, 
, and 
are positive integers not exceeding four?
Solution
No solutions yet!
