MathDB
Sum of coefficients

Source: 1964 AHSME Problem 20

August 23, 2013
AMC

Problem Statement

The sum of the numerical coefficients of all the terms in the expansion of (x2y)18(x-2y)^{18} is:
<spanclass=latexbold>(A)</span> 0<spanclass=latexbold>(B)</span> 1<spanclass=latexbold>(C)</span> 19<spanclass=latexbold>(D)</span> 1<spanclass=latexbold>(E)</span> 19 <span class='latex-bold'>(A)</span>\ 0\qquad<span class='latex-bold'>(B)</span>\ 1\qquad<span class='latex-bold'>(C)</span>\ 19\qquad<span class='latex-bold'>(D)</span>\ -1\qquad<span class='latex-bold'>(E)</span>\ -19