MathDB

4

Part of 2008 National Olympiad First Round

Problems(1)

Turkey NMO 2008 1st Round - P04 (Combinatorics)

Source:

8/24/2012
How many different sentences with two words can be written using all letters of the word YARIS¸MA\text{YARI\c{S}MA}? (The Turkish word YARIS¸MA\text{YARI\c{S}MA} means CONTEST\text{CONTEST}. It will produce same result.)
<spanclass=′latex−bold′>(A)</span> 2520<spanclass=′latex−bold′>(B)</span> 5040<spanclass=′latex−bold′>(C)</span> 15120<spanclass=′latex−bold′>(D)</span> 20160<spanclass=′latex−bold′>(E)</span> None of the above <span class='latex-bold'>(A)</span>\ 2520 \qquad<span class='latex-bold'>(B)</span>\ 5040 \qquad<span class='latex-bold'>(C)</span>\ 15120 \qquad<span class='latex-bold'>(D)</span>\ 20160 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the above}