MathDB

28

Part of 2005 National Olympiad First Round

Problems(1)

P28 [Combinatorics] - Turkish NMO 1st Round - 2005

Source:

11/10/2013
How many solutions does the equation a!=b!c!a ! = b ! c ! have where aa, bb, cc are integers greater than 11?
<spanclass=′latex−bold′>(A)</span> 1<spanclass=′latex−bold′>(B)</span> 2<spanclass=′latex−bold′>(C)</span> 6<spanclass=′latex−bold′>(D)</span> 8<spanclass=′latex−bold′>(E)</span> Infinitely many <span class='latex-bold'>(A)</span>\ 1 \qquad<span class='latex-bold'>(B)</span>\ 2 \qquad<span class='latex-bold'>(C)</span>\ 6 \qquad<span class='latex-bold'>(D)</span>\ 8 \qquad<span class='latex-bold'>(E)</span>\ \text{Infinitely many}