Question

Сколько различных хорд можно провести через 5 точек, если они расположены на окружности?

Answer 1

Ответ:

10

Пошаговое объяснение

Answer 2

Calculating the Number of Chords through 5 Points on a Circle

To calculate the number of different chords that can be drawn through 5 points on a circle, we can use the formula:

Number of Chords = nC2 + n

Where: - n is the number of points - nC2 represents the number of combinations of 2 points out of n

Applying the Formula

For 5 points on a circle, the number of different chords can be calculated as follows:

Number of Chords = 5C2 + 5

Using the combination formula, 5C2 can be calculated as:

5C2 = 5! / (2! * (5-2)!) = 10

Substituting this value into the original formula:

Number of Chords = 10 + 5 = 15

Therefore, the number of different chords that can be drawn through 5 points on a circle is 15.