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P15 [Combinatorics] - Turkish NMO 1st Round - 2004

Source:

November 15, 2013

Problem Statement

How many 1010-digit positive integers can be written by using four 00s, five 11s, and one 22?
<spanclass=′latex−bold′>(A)</span> 1260<spanclass=′latex−bold′>(B)</span> 1134<spanclass=′latex−bold′>(C)</span> 756<spanclass=′latex−bold′>(D)</span> 630<spanclass=′latex−bold′>(E)</span> None of above <span class='latex-bold'>(A)</span>\ 1260 \qquad<span class='latex-bold'>(B)</span>\ 1134 \qquad<span class='latex-bold'>(C)</span>\ 756 \qquad<span class='latex-bold'>(D)</span>\ 630 \qquad<span class='latex-bold'>(E)</span>\ \text{None of above}
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