Sunday, January 31, 2010

How Many Ways Can 12 People Sit At A Circular Table No. Of Ways 12 Persons Can Be Seated Around A Circular Table If A And B Sit Opposite, P And Q Always Together?

No. of ways 12 persons can be seated around a circular table if A and B sit opposite, P and Q always together? - how many ways can 12 people sit at a circular table

Among the 12 persons, A and B should be placed face to face, while P and Q must always sit together. Class size is around a round table. Help!

1 comments:

Chuck S said...

Assuming that is not defined "from the spot (if you have the same determination and 180 degrees, do not count as a distribution of seats is no different):

Still feeling a starting point. Therefore, the point B is also fixed. Therefore, you have ten points left
1-5 on the left side of A, and 6-10 on the right side of A.

First look at the overall PQ. There are 8 items that may be to sit and fill every room with 2 way, for a total of 16 options for them. Thus, there remains 8 points, it would be 8! as they fill the remaining positions.

Answer = 16 x 8!

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