Consider the below collection of dots. a.) How many allowable triangles can you make using three vertices from the above picture? A triangle is called \"allowable\" if it is non-degenerate, meaning the three vertices are not from the same line. An allowable triangle need not be a right triangle. 3) Find another way of counting the dots different from the rst, and verify you get the same answer as in (a). 3) State a binomial identity that your answers from (a) and (b) establish. Generalize this result to the case where you have a: points on the horizontal line and 3; points on the vertical. (You do NOT need to prove this identity, just state it)