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Mathematics 8 Online
OpenStudy (diamondanon2):

In how many ways can Joe, Mary, Steve, and Brenda be seated around a round table?

OpenStudy (diamondanon2):

I thought it was 4 * 3 * 2 * 1, but I do not think that is correct.

OpenStudy (diamondanon2):

Or it might be. I am not sure. :/

OpenStudy (diamondanon2):

@agent0smith

OpenStudy (mathstudent55):

It is fewer than that. Compare sitting around a table, and sitting in a straight row.

OpenStudy (mathstudent55):

Here is a comparison of 3 people around a table or in a straight row. |dw:1471373020827:dw|

OpenStudy (agent0smith):

For around a table or in a circle, with \( n\) people, you use \( (n-1)! \) not \( n! \)

OpenStudy (agent0smith):

So since there's 4 people, there should be 3! ways to seat them.

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