Question

Отметили две зеленых и три красных точки.Сколько можно построить отрезков,у которых один конец зеленый,а другой красный?

Answer 1

6 отрезков можно построить

Answer 2

Counting the Possible Segments

To determine the number of segments that can be constructed with one end green and the other end red, we can use the given information.

Two green points and three red points have been marked.

The number of segments that can be constructed with one end green and the other end red can be calculated using the combination formula, which is given by the formula: \[ C(n, k) = \frac{n!}{k!(n-k)!} \] where \( n \) is the total number of points and \( k \) is the number of points to be chosen.

Calculation

Using the combination formula, the number of segments that can be constructed with one end green and the other end red is: \[ C(2, 1) \times C(3, 1) = \frac{2!}{1!(2-1)!} \times \frac{3!}{1!(3-1)!} \]

\[ = 2 \times 3 = 6 \]

Therefore, six segments can be constructed with one end green and the other end red. If you have any further questions or need additional assistance, feel free to ask!