MathDB
2022 A Individual #6

Source:

April 28, 2022
2022 A Individual

Problem Statement

Two different 3×33 \times 3 grids are chosen within a 5×55 \times 5 grid. What is the least number of unit grids contained in the overlap of the two 3×33 \times 3 grids?
<spanclass=latexbold>(A)</span>0<spanclass=latexbold>(B)</span>1<spanclass=latexbold>(C)</span>3<spanclass=latexbold>(D)</span>4<spanclass=latexbold>(E)</span>6<span class='latex-bold'>(A) </span>0\qquad<span class='latex-bold'>(B) </span>1\qquad<span class='latex-bold'>(C) </span>3\qquad<span class='latex-bold'>(D) </span>4\qquad<span class='latex-bold'>(E) </span>6