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Turkish NMO First Round - 1999 P-03 (Combinatorics)

Source:

July 3, 2012

Problem Statement

Four boxes with ball capacity 3,5,7,3, 5, 7, and 88 are given. In how many ways can 1919 same balls be put into these boxes?
<spanclass=′latex−bold′>(A)</span> 34<spanclass=′latex−bold′>(B)</span> 35<spanclass=′latex−bold′>(C)</span> 36<spanclass=′latex−bold′>(D)</span> 40<spanclass=′latex−bold′>(E)</span> None<span class='latex-bold'>(A)</span>\ 34 \qquad<span class='latex-bold'>(B)</span>\ 35 \qquad<span class='latex-bold'>(C)</span>\ 36 \qquad<span class='latex-bold'>(D)</span>\ 40 \qquad<span class='latex-bold'>(E)</span>\ \text{None}
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