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minimum of a*b*c+d*e*f+g*h*k

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March 5, 2012
inequalitiesinequalities unsolved

Problem Statement

Let 1≤a,b,c,d,e,f,g,h,k≤9 1\leq a,b,c,d,e,f,g,h,k \leq 9 and a,b,c,d,e,f,g,h,k a,b,c,d,e,f,g,h,k are different integers, find the minimum value of the expression E=a∗b∗c+d∗e∗f+g∗h∗k E = a*b*c+d*e*f+g*h*k and prove that it is minimum.
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