A school store sold notebooks for \(\$3\) each and collected \(\$47\), including a \(\$2\) donation. The model \(3n~+~2~=~47\) gives \(n~=~15\). Evaluate every statement below for whether it correctly states the exact notebook count, then report the complete set of valid labels.

A. The store sold \(15~\text{notebooks}\).
B. The store sold \(\text{at}~\text{least}~15~\text{notebooks}\).
C. \(n~=~15\) means \(15~\text{notebooks}\) were sold.
D. The store collected \(\$15\) from notebook sales.
E. \(\text{Exactly}~15~\text{notebooks}\) were sold.
F. The store could have sold \(14.5~\text{notebooks}\).