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6 people are sitting around a table. Let x be the number of people sitting next to at least one woman and y be the number of people sitting next to at least one man. How many possible values of the ordered pair (x,y) are there? (For example, (6,0) is the pair if all 6 people are women, since all 6 people are sitting next to a woman, and 0 people are sitting next to a man.)

 Jan 16, 2018
 #1
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I just counted them, some were tricky and you should check for yourself

 

6 women and 0 men  (6,0)

0 women and 6 men  (0,6)

 

5W and 1M     (6,2)

5M and 1W     (2,6)

 

4W and 2M    (6,4)  or (6,3)

2M and 4W    (4,6) or (3,6)

 

3M and 3W     (5,5) or  (3,3)

 

 

That is 10 possible ordered pairs.

 Jan 16, 2018

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