In how many ways can 8 different people be seated around a round table with 8 places? Two seatings are considered equivalent if one can be rotated to form the other.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
In how many ways can 8 different people be seated around a round table with 8 places? Two seatings are considered equivalent if one can be rotated to form the other.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
5040
In how many ways can 8 different people be seated around a round table with 8 places? Two seatings are considered equivalent if one can be rotated to form the other.
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