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This question is very COOL.         乂⍱‿●乂

 

I worked out how many could be made from the top C's and then doubled the answer for the bottom C's

 

NOW

First I looked at the first row of Os  One of those has to be the first O

 

the first O can come from 3 different Cs and it can lead onto 3 different OLs.   So that is 9

The same story for the last O .    So that is 9 too.

Now the middle O.   It too can come from 3 different Cs, and it can lead onto 4 OLs on the left and another 4 on the right so that is     3(4+4)=24  outcomes.

 

So we have 9+24+9 = 42 from the top Cs  and another 42 from the bottom Cs.

That makes 84 ways altogether.

 

Can I have a gold star now please?        ✿乂◕‿◕乂

Mar 6, 2015

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