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Mientka Publishing Company prices its bestseller Where's Walter? as follows: \[C(n) = \begin{cases} 12n, &\text{if } 1 \le n \le 24\\ 11n, &\text{if } 25 \le n \le 48\\ 10n, &\text{if } 49 \le n \end{cases}\] where \( n\) is the number of books ordered, and \( C(n)\) is the cost in dollars of \( n\) books. Notice that \( 25\) books cost less than \( 24\) books. For how many values of \( n\) is it cheaper to buy more than \( n\) books than to buy exactly \( n\) books? $$\textbf{(A)}\ 3\qquad \textbf{(B)}\ 4\qquad \textbf{(C)}\ 5\qquad \textbf{(D)}\ 6\qquad \textbf{(E)}\ 8$$
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D
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