Combination 7. Ten points lie in a plane, no three of which are collinear. How many...

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7. Ten points lie in a plane, no three of which are collinear. How many lines can be drawn using these points ? How many triangles can be drawn using the vertices chosen from these points? a. b.

math Statistics-And-Probability

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Answer 1

Answer #1

Collinear points are points that lie on the same line.

a)

To form a line, all we need to do is select any 2 points , and then join them . The number of ways to select any points (out of 10 distinct points) will be ¹⁰C₂ which is 45.

b)

As all of the points are non-collinear. The number of triangles would have been ¹⁰C₃ which is 120, because to form a triangle, we need to select any three points.

Calculations:

lo e2 81×21 10 x 9 x 8、 2 兀

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Answer 2

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