Answer:
60
Step-by-step:
5*4*3 = 60
Don't trust me?
Here is proof I am correct:
The number of those line segments which have endpoints of different colors is 47.
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
There are 5 red, 4 green, and 3 blue points on a circle.
There are different colored endpoints on each line segment that starts at a red point and travels to either a green point or a blue point.
There are 5 red points and 7 segments from each of them, making a total of 35 segments.
There are different colored endpoints on each line segment that leaves at a green point and travels to either a red or blue point.
There are 4 green points and 8 segments from each, for a total of 32 segments.
There are different colored endpoints on each line segment that leaves at a blue point and travels to either a green point or a red point.
Each blue point has 9 segments, and there are a total of 5 blue points.
Add all the ways = 35 + 32+ 27
= 94 segments.
Number of segment = 94/2 = 47
Thus, the number of those line segments which have endpoints of different colors is 47.
Learn more about permutation and combination here:
https://brainly.com/question/2295036
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