\( (A) < (D) < (C) < (B) < (E)\)
\( (C) < (A) < (D) < (B) < (E)\)
\( (C) < (D) < (B) < (A) < (E)\)
\( (A) < (C) < (D) < (B) < (E)\)
The acidity of phenols increases with the presence of electron-withdrawing groups (like -NO2) and decreases with electron-donating groups (like -CH3).
Thus, the correct order of acidity is $(A) < (C) < (D) < (B) < (E)$.
Let \( S = \left\{ m \in \mathbb{Z} : A^m + A^m = 3I - A^{-6} \right\} \), where
\[ A = \begin{bmatrix} 2 & -1 \\ 1 & 0 \end{bmatrix} \]Then \( n(S) \) is equal to ______.
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