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Turkey NMO 2007 1st Round - P04 (Combinatorics)

Source:

October 4, 2012

Problem Statement

How many ways are there to partition 77 students into the groups of 22 or 33?
<spanclass=′latex−bold′>(A)</span> 70<spanclass=′latex−bold′>(B)</span> 105<spanclass=′latex−bold′>(C)</span> 210<spanclass=′latex−bold′>(D)</span> 280<spanclass=′latex−bold′>(E)</span> 630 <span class='latex-bold'>(A)</span>\ 70 \qquad<span class='latex-bold'>(B)</span>\ 105 \qquad<span class='latex-bold'>(C)</span>\ 210 \qquad<span class='latex-bold'>(D)</span>\ 280 \qquad<span class='latex-bold'>(E)</span>\ 630
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