Question

Thesides ab BC and CA of a triangle ABC I have 3 4 and 5 interior points respectively on them if the number of triangles that can be constructed using these interior points as vertices is k then find k/5​

Answer 1

$\huge\star{\tt{\underline{\underline{\red{Answer\implies41}}}}}\star$

Answer 2

Answer:

Ans:- 205

Explanation:

; We have total 3+4+5 = 12   points.

So, number of  ∆s that can be formed using 12 such points is given by

Total number of ways of selecting three point - Number of ways three collinear points are selected

= 12^c3 - 3^c3 - 4^c3 - 5^c3

= 12 x 11 x 10 / 6 -1 -4 - 5x4 / 2x1

= 220 - 15

=> 205 -------------> Ans..