(Q). Consider ‘n’ points in a plane, if number of heptagon is equal to number of octagons then find the number of triangles that can be drawn from these n points.
Solution:-
number of heptagon = number of octagon
⟹ ⁿC₇ = ⁿC₈
Hence n = 7 + 8 = 15
∴ number of triangles = ⁿC₃ = ¹⁵C₃ Answer
