2002 AMC 10B Problems/Problem 9

Revision as of 01:51, 27 December 2008 by Lifeisacircle (talk | contribs) (New page: == Problem == Using the letters <math>A</math>, <math>M</math>, <math>O</math>, <math>S</math>, and <math>U</math>, we can form five-letter "words". If these "words" are arranged in alph...)
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Problem

Using the letters $A$, $M$, $O$, $S$, and $U$, we can form five-letter "words". If these "words" are arranged in alphabetical order, then the "word" $USAMO$ occupies position

\textbf{(A)}\ 112 \qquad \textbf{(B)}\ 113 \qquad \textbf{(C)}\ 114 \qquad \textbf{(D)}\ 115 \qquad \textbf{(E)}\ 116

$\mathrm{(A) \ } 112\qquad \mathrm{(B) \ } 113\qquad \mathrm{(C) \ } 114\qquad \mathrm{(D) \ } 115\qquad \mathrm{(E) \ } 116$

Solution

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