Question

ТЫ ИСС 8 Реши задачу с помощью кругов Эйлера. Из сотрудников Научного института космических исследо- ваний 12 побывали во Франции, 10 – в Италии, 8 – в Англии, в Англии и Италии – 5; в Англии и Франции – 6; во Франции и Италии – 6. Во всех трёх странах – 4. Сколько человек работает В институте?ПОМОГИТЕ ПРОШУ ТОК ПРАВИЛЬНО​

Answer 1

Ответ:

17

Пошаговое объяснение:

Answer 2

Problem Analysis

To solve this problem using Euler circles, we need to determine the number of employees working at the Scientific Institute of Space Research. We are given the following information:

- 12 employees visited France. - 10 employees visited Italy. - 8 employees visited England. - 5 employees visited both England and Italy. - 6 employees visited both England and France. - 6 employees visited both France and Italy. - 4 employees visited all three countries.

We need to find the total number of employees working at the institute.

Solution

Let's solve this problem step by step.

1. Start by drawing three circles to represent France, Italy, and England. These circles will overlap to represent the employees who visited multiple countries.

2. Fill in the given information: - Write "12" in the circle representing France. - Write "10" in the circle representing Italy. - Write "8" in the circle representing England. - Write "5" in the overlapping region of England and Italy. - Write "6" in the overlapping region of England and France. - Write "6" in the overlapping region of France and Italy. - Write "4" in the region where all three circles overlap.

The circles should now have the following numbers: - France: 12 - Italy: 10 - England: 8 - England and Italy overlap: 5 - England and France overlap: 6 - France and Italy overlap: 6 - All three countries overlap: 4

3. To find the number of employees working at the institute, we need to add up the numbers in all three circles. However, we need to be careful not to count the overlapping regions twice.

- Start by adding the numbers in each circle: 12 + 10 + 8 = 30. - Subtract the numbers in the overlapping regions to avoid double counting: - Subtract 5 (England and Italy overlap). - Subtract 6 (England and France overlap). - Subtract 6 (France and Italy overlap). - Subtract 4 (all three countries overlap).

The total number of employees working at the institute is 30 - 5 - 6 - 6 - 4 = 9.

Answer

There are 9 people working at the Scientific Institute of Space Research.