1981 AHSME Problems/Problem 22: Difference between revisions
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..." |
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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>j</math>, and <math>k</math> are positive integers not exceeding four? | 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>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> | |||
==Solution== | ==Solution== | ||
No solutions yet! | No solutions yet! | ||
Revision as of 10:19, 14 June 2021
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?
Solution
No solutions yet!
