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Mathematics 17 Online
OpenStudy (anonymous):

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.)

OpenStudy (anonymous):

pls help

hero (hero):

What methods are you studying in class?

OpenStudy (anonymous):

counting and probability

hero (hero):

I think I get it.

hero (hero):

Well, at least there is an approach to it that you can do, although it may be time consuming

OpenStudy (anonymous):

so what is it

OpenStudy (anonymous):

can you help me do it because i don't know how to

hero (hero):

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hero (hero):

You'd have to list all possible tables, then list all possible pairs for each table.

hero (hero):

For the above you have (6,2) and (2,6)

hero (hero):

(6,0) and (0,6) are given.

hero (hero):

So now you have four points already

hero (hero):

Now keep increasing the number of Men while decreasing the number of women and the first table, and for the second table, increase the number of women, while decreasing the number of men until you have the opposite of what you started with.

hero (hero):

then create the corresponding pairs for each and then you'll be done.

hero (hero):

A little time consuming, but it works.

hero (hero):

Still lost?

OpenStudy (anonymous):

yes

hero (hero):

I'll show you in vyew.

hero (hero):

http://vyew.com/157292/Open_Study

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