Question 1043102
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The classic formulation of this problem is:


        how many triangles can be formed by  8  points in a plane as their vertices if no  3  of them lie in one straight line.


See the lesson &nbsp;<A HREF=https://www.algebra.com/algebra/homework/Problems-with-consecutive-odd-even-integers/Problems-dealing-with-the-product-of-three-consecutive-integers.lesson>Problems dealing with the product of three consecutive integers</A>&nbsp; in this site.


Then the answer is &nbsp;{{{C[8]^3}}} = {{{(8*7*6)/(1*2*3)}}} = 8*7 = 56.