Question

Решите задачу: В 5 и 6 классах учатся 38 ребят.Из них 20 школьников занимаются в кружке рисования, 19- увлекаются робототехникой,13- занимаются волейболом.В кружке рисования 10 ребят из кружка робототехники и 7 спортсменов; в кружке робототехнике 8 спортсменов; 4 художника посещают и кружок робототехники волейбольную секцию. Сколько ребят не занимаются в кружке рисования, не увлекаются робототехникой и не играют в волейбол?

Answer 1

Если я не ошибаюсь, то ответ таков:
Мои рассуждения очень долги, в общем занимаются 27 детей.
38-27=11 детей бездельники, никуда не ходят!

Answer 2

Problem Analysis

We are given the following information: - There are a total of 38 students in the 5th and 6th grades. - 20 students are in the drawing club. - 19 students are interested in robotics. - 13 students play volleyball. - 10 students are in both the drawing club and the robotics club, and 7 of them also play sports. - 8 students are in both the robotics club and the sports club. - 4 students are in the drawing club, the robotics club, and the volleyball section.

We need to find the number of students who do not participate in the drawing club, are not interested in robotics, and do not play volleyball.

Solution

To find the number of students who do not participate in the drawing club, are not interested in robotics, and do not play volleyball, we need to subtract the number of students who fall into any of these categories from the total number of students.

Let's calculate the number of students who fall into each category:

- Number of students in the drawing club: 20 - Number of students interested in robotics: 19 - Number of students playing volleyball: 13 - Number of students in both the drawing club and the robotics club: 10 - Number of students in both the drawing club and the volleyball section: 4 - Number of students in both the robotics club and the sports club: 8 - Number of students in all three clubs: 4

To find the number of students who do not participate in the drawing club, are not interested in robotics, and do not play volleyball, we can use the principle of inclusion-exclusion.

Let's calculate the number of students who fall into at least one of these categories:

- Number of students in the drawing club or interested in robotics: 20 + 19 - 10 = 29 - Number of students in the drawing club or playing volleyball: 20 + 13 - 4 = 29 - Number of students interested in robotics or playing volleyball: 19 + 13 - 4 = 28

Now, let's calculate the number of students who fall into at least one of these categories but not all three:

- Number of students in the drawing club or interested in robotics but not playing volleyball: 29 - 4 = 25 - Number of students in the drawing club or playing volleyball but not interested in robotics: 29 - 4 = 25 - Number of students interested in robotics or playing volleyball but not in the drawing club: 28 - 4 = 24

Finally, let's calculate the number of students who do not participate in the drawing club, are not interested in robotics, and do not play volleyball:

- Number of students who do not fall into any of these categories: Total number of students - Number of students who fall into at least one of these categories but not all three = 38 - 25 - 24 + 4 = 21

Therefore, there are 21 students who do not participate in the drawing club, are not interested in robotics, and do not play volleyball.

Answer

There are 21 students who do not participate in the drawing club, are not interested in robotics, and do not play volleyball.