What is the maximum number of triangle with 6 points as vertices?

To form a triangle we require 3 non-collinear points. As we have 6 non-collinear points, we have to choose 3 out of 6. We can, therefore, make 20 triangles from 6 non-collinear points.

How many lines can be drawn by joining six points in a plane of which 3 are collinear?

If they are collinear, then there can be only one line joining them.

How many triangles can be formed with 6 points?

20 triangles
Therefore 20 triangles can be formed by joining 6 points lying on a circle. NOTE: Here we have to remember that collinear points cannot form triangles.

How many straight lines can 6 points have?

15 lines
Therefore, we can draw 15 lines from the 6 points lying on a circle. So, the correct answer is “Option B”.

How do you find the number of triangles that can be formed by joining the 6 non collinear points on a plane?

Case 1 : Take any 3 points form 6 non -collinear points.

1. Number of triangles =6c3​=20.
2. Number of triangles =6c1​×6c2​=15×6=90.
3. =6C2​×6c1​=90.

How many lines through 16 points can be drawn out of which exactly 6 are collinear?

= 16C2−6C2 +1 = 120 -15+1 = 106.

How many line segments can be drawn by connecting any two of the six points that lie on the circumference of a circle?

My quick answer comes from my calculator: nCr, where n = 6, and r = 2, giving us 15 as the answer.

How many planes can be made to pass through two points?

Answer: Given two distinct points, we can draw many planes passing through them. Therefore, infinite number of planes can be drawn passing through two distinct points or two points can be common to infinite number of planes.

How do you find the number of triangles that can be formed by joining the 6 non-collinear points on a plane?

How many points of intersection can 6 lines produce?

So, when 6 lines are drawn in a plane, the number of points of intersection to be 10 + 5 = 15.

How many triangles can be formed with 12 points?

Answer: (1) 185 Solution: Given 12 set of points.

How many triangles can be made from 12 points?

How many triangles can be obtained by joining 12 points, four of which are collinear? Number of triangles =(. 12C3-. 4C3)=(220-4)=216.

How many triangles can be formed from 6 points?

The big companies don’t want you to know his secrets. Three non-collinear points are required to draw a triangle. Three points can be selected out of six points in C (6,3) = 6!/ (3! 3!) = 20 ways. So 20 triangles can be formed. It is the number of ways you can select three points at a time from six points.

How many non-collinear points are required to draw a triangle?

Three non-collinear points are required to draw a triangle. Three points can be selected out of six points in C (6,3) = 6!/ (3! 3!) = 20 ways. So 20 triangles can be formed. It is the number of ways you can select three points at a time from six points.

How many triangles are there in C(21) + C(3)?

Taken three at a time, those lines would define: C (21, 3) = 1330 triangles. On each point, 6 lines converge, resulting in C (6, 3) = 20 collapsed triangles per point. 1330 – 7*20 = 1190 triangles.

What if all 6 points are on the same line?

If all six points are on the same line you couldn’t make any triangles, so we’re going to assume that no three of them are on the same line. You can select one of 6 points for your first axis, 5 are left for the second and 4 for the third.

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