Factorials 2

• November 2nd 2009, 10:34 AM
skeske1234
Factorials 2
Ten people are to be seated at a rectangular table for dinner. Tanya will sit at the head of the table. Henry must not sit beside either Wilson or Nancy. In how many ways can the people be seated for dinner?

this is my work, but does not lead me to the correct answer:

7! x 2 x 2 = 20160

The answer they have is 201600
• November 2nd 2009, 12:11 PM
Plato
Quote:

Originally Posted by skeske1234
Ten people are to be seated at a rectangular table for dinner. Tanya will sit at the head of the table. Henry must not sit beside either Wilson or Nancy. In how many ways can the people be seated for dinner?
The answer they have is 201600

That is not the answer that I get.
I done it three different ways and get 211680.
• November 18th 2009, 12:04 PM
skeske1234
Quote:

Originally Posted by Plato
That is not the answer that I get.
I done it three different ways and get 211680.

I have:

9! - (8! x 2) - (8! x 2)
• November 18th 2009, 12:24 PM
Plato
Quote:

Originally Posted by skeske1234
$9!-4\cdot(8!)+2\cdot(7!)$