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