How many ways can 12 people be seated about a round table?

Answer 1

If there are specific places around the table, there will be 12!

If not, then place 11!
(Suppose we look at one particular arrangement, everybody get up and move one to the right. The arrangement has not changed. But we could do this 12 times.
That is way we have only 11!, since 12!/12 = 11!)