Question

На одній прямій 11 точок, а на другій 14. Скількома способами можна скласти трикутники з вершинами у цих точках?

Answer 1

Ответ:

Для каждой точки на прямой с 11 точками можно выбрать две любые точки. Всего таких вариантов будет 14*(14-1) = 182

Чтобы получить ответ домножим это на 11:

182*11 = 2002

Answer 2

Number of ways to form triangles with 11 points on one line and 14 points on another line

To determine the number of ways to form triangles with vertices at these points, we need to consider the combinations of points that can form triangles.

Let's break down the problem into two cases:

Case 1: Triangles with one vertex on the line with 11 points and two vertices on the line with 14 points

In this case, we choose one point from the line with 11 points and two points from the line with 14 points. The number of ways to choose these points can be calculated using the combination formula.

The number of ways to choose 1 point from a set of 11 points is given by the combination formula: C(11, 1) = 11.

Similarly, the number of ways to choose 2 points from a set of 14 points is given by the combination formula: C(14, 2)