Difference between revisions of "1962 AHSME Problems/Problem 27"
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<math> \textbf{(1)}\ a@b = b@a\qquad\textbf{(2)}\ a@(b@c) = (a@b)@c\qquad\textbf{(3)}\ a ! (b@c) = (a ! b) @ (a ! c) </math> | <math> \textbf{(1)}\ a@b = b@a\qquad\textbf{(2)}\ a@(b@c) = (a@b)@c\qquad\textbf{(3)}\ a ! (b@c) = (a ! b) @ (a ! c) </math> | ||
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<math> \textbf{(A)}\ (1)\text{ only}\qquad\textbf{(B)}\ (2)\text{ only}\qquad\textbf{(C)}\ \text{(1) and (2) only}\qquad\textbf{(D)}\ \text{(1) and (3) only}\qquad\textbf{(E)}\ \text{all three} </math> | <math> \textbf{(A)}\ (1)\text{ only}\qquad\textbf{(B)}\ (2)\text{ only}\qquad\textbf{(C)}\ \text{(1) and (2) only}\qquad\textbf{(D)}\ \text{(1) and (3) only}\qquad\textbf{(E)}\ \text{all three} </math> | ||
Revision as of 21:56, 9 November 2013
Problem
Let 
represent the operation on two numbers, 
and 
, which selects the larger of the two numbers, with 
. Let 
represent the operator which selects the smaller of the two numbers, with 
. Which of the following three rules is (are) correct?
Solution
"Unsolved"
