How many triangles can be formed from 12 points out of which 7 of them were always collinear?

Answer: (1) 185 Solution: Given 12 set of points. Therefore, selection of three points out of 7 collinear points = 7C3, which we need to deduct from the non-collinear 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 straight lines can be drawn with 12 points in a plane of which 5 points are collinear?

question_answer Answers(1) Given 12 points,5 of which are collinear. In this case the number of straight lines that can be formed using the 5 collinear points is only 1. C2 – 5C2 +1 . = 66 – 10 +1 = 57.

How many triangles can be formed from 7 points?

Label the seven points on the circle as 1,2,…,7. There are (73)=7×6×53×2×1=35 triangles total.

How many triangles can be formed by joining 12 points 5 of which are collinear?

triangles. Answer: C(12,3) – C(5,3) = 220 – 10 = 210.

How many number of triangles formed by joining 12 point is 4 points are collinear?

There are 12 points 1n a plane of which four points are collinear. If no three points are collinear, we will get 1003 triangles. Since four points are collinear, the number of triangles will reduce by 403.

How many triangles can be formed in a decagon?

Number of triangles in a decagon =. 10C3=120.

How many straight lines can be obtained by joining 12 points?

Number of straight lines that can be formed using 12 points = 12C2 = 12×111×2 12 × 11 1 × 2 = 66.

How many triangles can be formed from 15 different points where any three of them are not in line?

how many triangles formed by joining these ponts? As you know three points are needed to make a triangle,so from the given 15 points we can make triangles means 455 triangles in total.

How many triangles can be formed by 5 points in a line and 3 points on a parallel line?

We know that triangles cannot be formed when the three points are colinear, so we cannot consider points alone from line L1 and alone from line L2 to form triangles as the area of the triangle will be zero. = 8! / (5!

How to find the number of triangles formed by the points?

There are ‘n’ points in a plane, out of which ‘m’ points are co-linear. Find the number of triangles formed by the points as vertices? Input : n = 5, m = 4 Output : 6 Out of five points, four points are collinear, we can make 6 triangles. We can choose any 2 points from 4 collinear points and use the single point as 3rd point.

How many triangles can be formed from 7 collinear points?

But any three points selected from given seven collinear points does not form triangle. Number of ways of selecting three points from seven collinear points = 7C3Required number of triangles = 12C3– 7C3= 220 -35 = 185 Please log inor registerto add a comment. ← Prev QuestionNext Question → Related questions 0votes 1answer

What are the three cases for a triangle with 7 points?

We consider three cases based on the number of the 7 collinear points which are used. To form a triangle, we may use 0, 1 or 2 of those 7 and those may be chosen in ( 7 0), ( 7 1) and ( 7 2) respectively. Those must be supplemented by choosing, 3, 2, and 1 points from the remaining 5, done in ( 5 3), ( 5 2) and ( 5 1) ways.

How many vertices does it take to form a triangle?

To form a triangle, 3 vertices are required such that at least 1 should not belong to the collinear set.