For $\texttt{i = 1}$, the inner loop runs for $\texttt{j = 1}$, so $\texttt{count = 0 + 1 = 1}$.
For $\texttt{i = 2}$, the inner loop runs for $\texttt{j = 1, 2}$, so $\texttt{count = 1 + 1 + 2 = 4}$.
For $\texttt{i = 3}$, the inner loop runs for $\texttt{j = 1, 2, 3}$, so $\texttt{count = 4 + 1 + 2 + 3 = 10}$.
Therefore, the output is $\texttt{10}$.