If x and y are nonnegative integers, both less than or equal to 2, then we say that (x; y) is a
friendly point. Compute the number of unordered triples of friendly points that form triangles
with positive area.	Choose the correct choice from the following choices
A) 32  B) 45  C) 67  D) 76  E) 82
There are   (9   3)= 84 unordered triples of friendly points. Instead of trying to count   the triples that yield triangles with positive area, we count the ones which have zero area. These   form line segments, of which there are 8 (three vertical, three horizontal, two diagonal), giving   us 76 desired unordered triples.   correct answer 76
<result>D</result>
If x and y are nonnegative integers, both less than or equal to 2, then we say that (x; y) is a
friendly point. Compute the number of unordered triples of friendly points that form triangles
with positive area.