Question

В группе 30 студентов. Из них 20 студентов сдали экзамен по математике, 15 - экзамен по истории, 12 по математике и истории. Сколько человек не сдали экзамен? Сколько человек сдали только один экзамен?

Answer 1

Ответ:

7 человек не сдали ни одного, 11 только один экзамен

Пошаговое объяснение:

20 человке сдало экзамен по математике, из них 12 ещё и по истории

значит сдали только историю 15-12=3 человека, 20-12=8 чел только математику. значит 8+3 =11 сдали один предмет

30 - 12 - 11 = 7 человек ничего не сдали

Answer 2

Question Analysis

To answer the question, we need to determine the number of students who did not pass the exam and the number of students who passed only one exam. We are given the following information:

- Total number of students in the group: 30 - Number of students who passed the math exam: 20 - Number of students who passed the history exam: 15 - Number of students who passed both the math and history exams: 12

Let's calculate the number of students who did not pass the exam and the number of students who passed only one exam.

Calculation

To find the number of students who did not pass the exam, we can subtract the number of students who passed at least one exam from the total number of students in the group.

Number of students who passed at least one exam = Number of students who passed math exam + Number of students who passed history exam - Number of students who passed both exams

Number of students who did not pass the exam = Total number of students - Number of students who passed at least one exam

To find the number of students who passed only one exam, we can subtract the number of students who passed both exams from the sum of the number of students who passed the math exam and the number of students who passed the history exam.

Number of students who passed only one exam = Number of students who passed math exam + Number of students who passed history exam - Number of students who passed both exams

Let's calculate the values.

Calculation

Number of students who passed at least one exam = 20 + 15 - 12 = 23

Number of students who did not pass the exam = 30 - 23 = 7

Number of students who passed only one exam = 20 + 15 - 12 = 23

Answer

There are 7 students who did not pass the exam, and 23 students passed only one exam.

Please let me know if there is anything else I can help you with.