Question

how many triangles can be formed with 10 points in a plane of which no three points are collinear

Answer 1

Since no three points are collinear in the plane ,a triangle can be formed by selecting any three point. So total number of triangles = number of ways of selecting 3 points from the given set of points.

Therefore total number of triangles = 10C3 =(10)!/( 3!*7!) = (10*9*8)/(3*2*1) = 10*3*4 =120.

Answer 2

120 Triangles Can be formed  with 10 points in which no three points are colinear

Step-by-step explanation:

To form a Triangle we need 3 points

as no three points are colinear

So we can take any 3 points to form triangle

there are total 10 points

Number of Triangles can be formed = ¹⁰C₃

= 10!/(7!*3!)

= 10 * 9 * 8 /(3 * 2 * 1)

= 720/6

= 120

120 Triangles Can be formed

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