MathDB

15

Part of 1999 National Olympiad First Round

Problems(1)

Combination

Source: 0

4/21/2009
2 squares are painted in blue and 2 squares are painted in red on a 3×3 3\times 3 board in such a way that two square with same color is neither at same row nor at same column. In how many different ways can these four squares be painted?
<spanclass=′latex−bold′>(A)</span> 198<spanclass=′latex−bold′>(B)</span> 288<spanclass=′latex−bold′>(C)</span> 396<spanclass=′latex−bold′>(D)</span> 576<spanclass=′latex−bold′>(E)</span> 792<span class='latex-bold'>(A)</span>\ 198 \qquad<span class='latex-bold'>(B)</span>\ 288 \qquad<span class='latex-bold'>(C)</span>\ 396 \qquad<span class='latex-bold'>(D)</span>\ 576 \qquad<span class='latex-bold'>(E)</span>\ 792