Question

Пожалуйста помогите срочно,у меня АКР,мне надо утром сдать. в классе 28 учащихся из них 4 отличника,14 спортсменов,18 участников художественной самодеятельности ,2 отличника и спортсмена,10-участники художественной самодеятельности ,ф 1-спортсмен,отличник и участник художественной самодеятельности .Сколько учащихся не являются ни отличниками,ни спотртсменами,ни участниками художественной самодеятельности

Answer 1

Правильное условие

в классе 28 учащихся: из них 4 отличники, 14 спортсменов, 18 участников художественной самодеятельности, 2 - отличника и спортсмена, 1 – только отличник и участник художественной самодеятельности, 10 – спортсмены и участники художественной самодеятельности, а 1 – спортсмен, отличник и участник художественной самодеятельности. Сколько учащихся не являются ни отличниками, ни спортсменами, ни участниками художественной самодеятельности?

Решаем кругами Эйлера-Вена.
Ответ: 6 человек

Answer 2

Calculating the Number of Students

To solve this problem, we can use the principle of inclusion-exclusion to find the number of students who are neither excellent students, nor athletes, nor participants in artistic self-expression. Let's calculate it step by step.

Step 1: Total Number of Students

The total number of students in the class is 28.

Step 2: Number of Excellent Students

There are 4 excellent students in the class.

Step 3: Number of Athletes

There are 14 athletes in the class.

Step 4: Number of Participants in Artistic Self-Expression

There are 18 participants in artistic self-expression.

Step 5: Number of Students Who Are Both Excellent Students and Athletes

There are 2 students who are both excellent students and athletes.

Step 6: Number of Students Who Are Athletes and Participants in Artistic Self-Expression

There are 10 students who are athletes and participants in artistic self-expression.

Step 7: Number of Students Who Are Excellent Students, Athletes, and Participants in Artistic Self-Expression

There is 1 student who is an excellent student, athlete, and participant in artistic self-expression.

Step 8: Calculate the Number of Students Who Are Neither Excellent Students, Nor Athletes, Nor Participants in Artistic Self-Expression

To find the number of students who are neither excellent students, nor athletes, nor participants in artistic self-expression, we can use the principle of inclusion-exclusion.

Let's calculate it: Total students - (Excellent students + Athletes + Participants in Artistic Self-Expression - (Students who are both Excellent Students and Athletes + Students who are Athletes and Participants in Artistic Self-Expression + Students who are Excellent Students, Athletes, and Participants in Artistic Self-Expression))

Calculation

28 - (4 + 14 + 18 - (2 + 10 + 1))

Result

The number of students who are neither excellent students, nor athletes, nor participants in artistic self-expression is 15.

I hope this helps! If you have any other questions, feel free to ask.