3. find the number of permutations of two points from a set of four points. how does this answer compare to the number of segments you were able to draw?

Step-by-step explanation:

Given that there are four points and we have to find the number of permutations of two points from a set of four points

No of permutations = 4P2 = 12

Line segments that can be drawn between any two points from given 4 points would be

4C2 =6 because line segment from A to B would be the same as B to A

i.e. order does not matter.

Thus no of line segments are combinations while permutations represent vectors where direction matters and they are 12.

Line segments are half of total vectors

Step-by-step explanation:

values of coefficients are:

vertex form is , where and

Inserting to the vertex form, we get: