MathDB

24

Part of 2010 National Olympiad First Round

Problems(1)

Turkey NMO 2010 1st Round - P24 (Combinatorics)

Source:

7/26/2012
How many 77-digit positive integers are there such that the number remains same when its digits are reversed and is multiple of 1111?
<spanclass=′latex−bold′>(A)</span> 900<spanclass=′latex−bold′>(B)</span> 854<spanclass=′latex−bold′>(C)</span> 818<spanclass=′latex−bold′>(D)</span> 726<spanclass=′latex−bold′>(E)</span> None <span class='latex-bold'>(A)</span>\ 900 \qquad<span class='latex-bold'>(B)</span>\ 854 \qquad<span class='latex-bold'>(C)</span>\ 818 \qquad<span class='latex-bold'>(D)</span>\ 726 \qquad<span class='latex-bold'>(E)</span>\ \text{None}