MathDB
Maximizing Expression

Source:

January 5, 2009

Problem Statement

In the expression c\cdot a^b\minus{}d, the values of a a, b b, c c, and d d are 0 0, 1 1, 2 2, and 3 3, although not necessarily in that order. What is the maximum possible value of the result? <spanclass=latexbold>(A)</span> 5<spanclass=latexbold>(B)</span> 6<spanclass=latexbold>(C)</span> 8<spanclass=latexbold>(D)</span> 9<spanclass=latexbold>(E)</span> 10 <span class='latex-bold'>(A)</span>\ 5\qquad <span class='latex-bold'>(B)</span>\ 6\qquad <span class='latex-bold'>(C)</span>\ 8\qquad <span class='latex-bold'>(D)</span>\ 9\qquad <span class='latex-bold'>(E)</span>\ 10