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Kate, Demi, Madona, Sharon, Britney and Nicole decided to
lunch together in a restaurant. The waiter led them to a
round table with six chairs.

How many different ways can they seat?

Answer Posted / guest

There are 120 different possible seating arrangments.

Note that on a round table ABCDEF and BCDEFA is the same.

The first person can sit on any one of the seats. Now, for
the second person there are 5 options, for the third person
there are 4 options, for the forth person there are 3
options, for the fifth person there are 2 options and for
the last person there is just one option.

Thus, total different possible seating arrangements are

= 5 * 4 * 3 * 2 * 1

= 120

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