Final answer:
To determine the number of line segments that can be drawn between 24 points on a circle, the combination formula is used, resulting in a total of 276 line segments.
Step-by-step explanation:
The student has asked how many line segments can be drawn between 24 points on a circle. To find this, we need to understand that a line segment can be drawn between any two points. This problem can be solved using the formula for combinations (since the order of the two points doesn't matter), which is given by the formula C(n, k) = n! / (k!(n-k)!), where n is the total number of points and k is the number of points to choose (in this case 2 for a line segment).
Using the formula, we calculate C(24, 2) = 24! / (2!(24-2)!) = 24! / (2!22!) = 276. Therefore, 276 line segments can be drawn.