MathDB
"USAMO" Permutations

Source:

February 27, 2008
AMCUSA(J)MOUSAMO

Problem Statement

Using the letters A A, M M, O O, S S, and U U, we can form 120 120 five-letter "words". If these "words" are arranged in alphabetical order, then the "word" USAMO USAMO occupies position <spanclass=′latex−bold′>(A)</span> 112<spanclass=′latex−bold′>(B)</span> 113<spanclass=′latex−bold′>(C)</span> 114<spanclass=′latex−bold′>(D)</span> 115<spanclass=′latex−bold′>(E)</span> 116 <span class='latex-bold'>(A)</span>\ 112 \qquad <span class='latex-bold'>(B)</span>\ 113 \qquad <span class='latex-bold'>(C)</span>\ 114 \qquad <span class='latex-bold'>(D)</span>\ 115 \qquad <span class='latex-bold'>(E)</span>\ 116
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