MathDB
1994 AMC 12 #10

Source:

December 30, 2011
AMC

Problem Statement

For distinct real numbers xx and yy, let M(x,y)M(x,y) be the larger of xx and yy and let m(x,y)m(x,y) be the smaller of xx and yy. If a<b<c<d<ea<b<c<d<e, then M(M(a,m(b,c)),m(d,m(a,e)))= M(M(a,m(b,c)),m(d,m(a,e)))= <spanclass=′latex−bold′>(A)</span> a<spanclass=′latex−bold′>(B)</span> b<spanclass=′latex−bold′>(C)</span> c<spanclass=′latex−bold′>(D)</span> d<spanclass=′latex−bold′>(E)</span> e <span class='latex-bold'>(A)</span>\ a \qquad<span class='latex-bold'>(B)</span>\ b \qquad<span class='latex-bold'>(C)</span>\ c \qquad<span class='latex-bold'>(D)</span>\ d \qquad<span class='latex-bold'>(E)</span>\ e
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