Answer:
there are 60 triangles with vertices of different colors that can be formed from the given points.
Explanation:
To find the number of triangles with vertices of different colors chosen from the given points, we can consider the combinations of colors.
We have 5 red points, 4 green points, and 3 blue points on the circle.
To form a triangle with vertices of different colors, we need to choose one point from each color group.
The number of possible triangles can be calculated as the product of the number of choices from each color group:
Number of triangles = (number of choices for red points) * (number of choices for green points) * (number of choices for blue points)
Number of triangles = C(5, 1) * C(4, 1) * C(3, 1)
where C(n, r) represents the combination of choosing r items from a set of n items.
Evaluating the expression:
Number of triangles = 5 * 4 * 3 = 60