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<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
For each positive integer $n$, let $n!$ denote the product $1\cdot 2\cdot 3\cdot\,\cdots\,\cdot (n-1)\cdot n$.

What is the remainder when $9!$ is divided by $10$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
0
For each positive integer $n$, let $n!$ denote the product $1\cdot 2\cdot 3\cdot\,\cdots\,\cdot (n-1)\cdot n$.

What is the remainder when $9!$ is divided by $10$?
train