MathDB

31

Part of 2000 National Olympiad First Round

Problems(1)

Turkey NMO 2000 1st Round - P31 (Combinatorics)

Source:

7/25/2012
How many ten digit positive integers with distinct digits are multiples of 1111111111?
<spanclass=′latex−bold′>(A)</span> 0<spanclass=′latex−bold′>(B)</span> 1264<spanclass=′latex−bold′>(C)</span> 2842<spanclass=′latex−bold′>(D)</span> 3456<spanclass=′latex−bold′>(E)</span> 11111 <span class='latex-bold'>(A)</span>\ 0 \qquad<span class='latex-bold'>(B)</span>\ 1264 \qquad<span class='latex-bold'>(C)</span>\ 2842 \qquad<span class='latex-bold'>(D)</span>\ 3456 \qquad<span class='latex-bold'>(E)</span>\ 11111