Given that $\binom{15}{8}=6435$, $\binom{16}{9}=11440$, and $\binom{16}{10}=8008$, find $\binom{15}{10}$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Given that $\binom{15}{8}=6435$, $\binom{16}{9}=11440$, and $\binom{16}{10}=8008$, find $\binom{15}{10}$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3003
Given that $\binom{15}{8}=6435$, $\binom{16}{9}=11440$, and $\binom{16}{10}=8008$, find $\binom{15}{10}$.
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