MathDB

8

Part of 2014 National Olympiad First Round

Problems(1)

P08 [Combinatorics] - Turkish NMO 1st Round - 2014

Source:

5/21/2014
In how many ways can 1717 identical red and 1010 identical white balls be distributed into 44 distinct boxes such that the number of red balls is greater than the number of white balls in each box?
<spanclass=′latex−bold′>(A)</span> 5462<spanclass=′latex−bold′>(B)</span> 5586<spanclass=′latex−bold′>(C)</span> 5664<spanclass=′latex−bold′>(D)</span> 5720<spanclass=′latex−bold′>(E)</span> 5848 <span class='latex-bold'>(A)</span>\ 5462 \qquad<span class='latex-bold'>(B)</span>\ 5586 \qquad<span class='latex-bold'>(C)</span>\ 5664 \qquad<span class='latex-bold'>(D)</span>\ 5720 \qquad<span class='latex-bold'>(E)</span>\ 5848