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Turkey NMO 2008 1st Round - P04 (Combinatorics)

Source:

August 24, 2012

Problem Statement

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=latexbold>(A)</span> 2520<spanclass=latexbold>(B)</span> 5040<spanclass=latexbold>(C)</span> 15120<spanclass=latexbold>(D)</span> 20160<spanclass=latexbold>(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}