Note:
May 24, 2015
Note:
No longer to click. Just wait and see.
The world The world of mathof math
By: Math AngelBy: Math Angel
A Dinner Party
Scene:
The PROBLEM
John and Marcia given a formal dinner party for ten (including themselves) which is a number John always like because the host can sit at one end of the table and the hostess at the other, and still maintain the correct alternate male and female around the table. Marcia was trying to work out the seating.
Conversation…
Tom and Jean have not been here to dinner before so they are
the guests of honor. Tom must sit on my
right and Jean on your right, but I don't know how I want to seat the
others:
Well!!
I would like Janet on my left. I have a soft
spot for her. You can have
her?
but I will not have her husband Jack next to
me; I think he should be next to Mary Ann.
Since we do not place husbands and wives next to each other, this determined
the seating of everyone, including Howard's wife
Lois, and Mary Ann's husband Bill. Can you work
out the seating arrangement?
solution
Numbering the ten places around the table 1 to 10 as shown in the figure
below, if I take the head of the table (1), my wife
will sit at (6), Jean will be at (10), Tom at (5), and
Janet at (2).
Figure 1
Now Marcia will not have Jack next to her so he
must be at (9), because (3) would place him next to his wife. Since Mary Ann is next to Jack, she
must be at (8); then Howard must be at (7), Bill at (3), and Lois at
(4).
Figure
2
The problem is solve now. I no longer to think
who will sit beside me and another way
around.
Yes. You no longer
think who sit beside
me.
This is the end :)
Presented by
Mary Anne A. BandicoAB-IS-II
Math 101 ROctober 15, 2008
Good luck to our way..
Thank you for everything!