Question

в классе 45 учеников 20 учеников проходит дополнительные уроки по математике 16 по физике и 15 по английскому языку три ученика посещают все три урока 5 учеников математику и физику четыре ученика математику и английский язык 6 учеников физику и английский язык Сколько учеников в классе вообще не посещают никаких дополнительных занятиях​

Answer 1

Ответ:

6

Пошаговое объяснение:

всего–45уч.

3уч–матем.,физика,англ.яз

5уч.–матем.,физика

4уч.–матем.,англ.яз

6уч.–физика.,англ.яз

матем–3+5+4=12уч

физика–3+5+6=14уч

англ.яз–3+4+6=13уч.

12+14+13=39(посещают занятия)

45–39=6(не посещают занятия).

Answer 2

Calculating the Number of Students Not Attending Any Additional Classes

To calculate the number of students who do not attend any additional classes, we can use the principle of inclusion-exclusion. We'll start by adding the number of students attending each individual class and then subtract the number of students attending two classes at a time. Finally, we'll add back the number of students attending all three classes.

Let's calculate it step by step:

1. Number of Students Attending Each Individual Class: - Mathematics: 20 students - Physics: 16 students - English: 15 students

2. Number of Students Attending Two Classes at a Time: - Mathematics and Physics: 5 students - Mathematics and English: 4 students - Physics and English: 6 students

3. Number of Students Attending All Three Classes: - 3 students

Calculation

- Total number of students = Number attending Mathematics + Number attending Physics + Number attending English - Number attending two classes at a time + Number attending all three classes - Total number of students = 20 + 16 + 15 - 5 - 4 - 6 + 3 - Total number of students = 39

Therefore, there are 39 students in the class in total. To find the number of students not attending any additional classes, we subtract this from the total number of students in the class:

- Number of students not attending any additional classes = Total number of students in the class - Number attending any additional classes - Number of students not attending any additional classes = 45 - 39 - Number of students not attending any additional classes = 6

Hence, there are 6 students in the class who do not attend any additional classes.