8. 10 identical balls are to be placed into three boxes numbered (1), (2), and (3), with the requirement that the number of balls in each box is not less than its number. How many different ways are there to do this? $\qquad$ 

 untranslated part: 种不同的做法。 

Note: The untranslated part "种不同的做法。" is a placeholder for the answer and should be replaced with the numerical answer once calculated. For a complete and accurate translation, it should be omitted or replaced with "different ways."
【Translation】
\begin{tabular}{|l|l|l|l|l|l|}
\hline & (1) (2) & (3) & & \\
\hline Step 1: Ensure minimum requirements & 1 & 2 & 3 & 4 balls left & \\
\hline \begin{tabular}{l} 
Step 2: Place 4 balls in \\ 
one box
\end{tabular} & & & 4 & 3 ways \\
\hline \begin{tabular}{l} 
Step 3: Place 4 balls in \\ 
two boxes
\end{tabular} & & & & $4=3+1$ & 3 x 2 = 6 ways \\
\hline \begin{tabular}{l} 
Step 4: Place 4 balls in \\ 
three boxes
\end{tabular} & & & & $4=2+2$ & 3 ways \\
\hline & & & & & 3 ways \\
\hline
\end{tabular}