Question

На уроке литературе учитель решил выяснить в классе из 40 учеников кто прочитал А В С книги Результат опроса показал что А книгу прочитали 25 учеников В книгу прочитали 22 ученика С книгу прочитали 22 ученика один из книг А или В прочитали 33 ученика один из книг А и С прочитали 32 ученика один из книг В И С прочитали31 ученика Все три книги прочитали 10 учеников Сколько учеников прочитали одну книгу Сколько учеников только 2 книги Из указанных книг ниодну не прочитал

Answer 1

Там должно быть 148 учеников

Answer 2

Analysis of Literature Class Survey Results

In the literature class survey, the teacher aimed to determine how many of the 40 students in the class had read books A, B, or C. The results of the survey are as follows:

- Number of Students Who Read Book A: 25 students - Number of Students Who Read Book B: 22 students - Number of Students Who Read Book C: 22 students - Number of Students Who Read Book A or B: 33 students - Number of Students Who Read Book A and C: 32 students - Number of Students Who Read Book B and C: 31 students - Number of Students Who Read All Three Books: 10 students

Calculation of Students Who Read Each Book

To calculate the number of students who read each book, we can use the principle of inclusion and exclusion. This principle allows us to find the number of students who read each book by considering the total number of students who read at least one, two, or all three books.

- Number of Students Who Read Book A: 25 students - Number of Students Who Read Book B: 22 students - Number of Students Who Read Book C: 22 students - Number of Students Who Read Books A and B but not C: 33 - 10 = 23 students - Number of Students Who Read Books A and C but not B: 32 - 10 = 22 students - Number of Students Who Read Books B and C but not A: 31 - 10 = 21 students

Conclusion

Based on the survey results, the number of students who read each book and the number of students who read only one, two, or none of the books can be calculated using the principle of inclusion and exclusion. The detailed calculations are provided above.

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