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A tribe of eight Native Americans sits in a circle around a campfire. If the chief must sit between his mother and his wife, how many different seating arrangements are possible? Two seating arrangements are considered the same if each individual has the same person to the right and the same person to the left in both.

tertre  Feb 18, 2018
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 #1
avatar+86649 
+2

Here's my take  :

 

Fix the chief in any position

 

We have two ways to arrange the mother and wife......either the wife is on the left of the chief and the mother on the right, or vice-versa

 

And the other  5 members of the tribe can be arranged in 5! ways

 

So...the total possible arrangements are   2 * 5!  =  2 * 120    =  240

 

cool cool cool

CPhill  Feb 18, 2018
 #2
avatar+2615 
+1

Very nice solution, CPhill! Great job! smiley

tertre  Feb 18, 2018

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