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In a room, \(2/5\) of the people are wearing gloves, and \(3/4\) of the people are wearing hats. What is the minimum number of people in the room wearing both a hat and a glove? $$ \textbf{(A)}\ 3 \qquad\textbf{(B)}\ 5\qquad\textbf{(C)}\ 8\qquad\textbf{(D)}\ 15\qquad\textbf{(E)}\ 20 $$
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