Question

У каждого из тридцати шестиклассников есть одна ручка,один карандаш,и одна линейка.После их участия в олимпиаде оказалось,что 26 учеников потеряли ручку,23-линейку,21 карандаш.Найдите наименьшее возможное количество шестиклассников,потерявших все три предмета.

Answer 1

Найменьшее количество-21 ученик. Удачи!

Answer 2

Problem Analysis

We are given that each of the thirty-six sixth-graders has one pen, one pencil, and one ruler. After participating in an Olympiad, it was found that 26 students lost their pens, 23 lost their rulers, and 21 lost their pencils. We need to find the minimum possible number of sixth-graders who lost all three items.

Solution

To find the minimum possible number of sixth-graders who lost all three items, we need to find the intersection of the sets of students who lost each individual item.

Let's analyze the given information: - 26 students lost their pens. - 23 students lost their rulers. - 21 students lost their pencils.

To find the minimum number of students who lost all three items, we need to find the intersection of these sets. However, we cannot directly determine the intersection from the given information.

Let's consider the worst-case scenario, where all 26 students who lost their pens are also among the 23 students who lost their rulers and the 21 students who lost their pencils. In this case, the maximum number of students who lost all three items would be 21.

However, this is the worst-case scenario, and it is possible that some students who lost their pens did not lose their rulers or pencils. Therefore, the actual number of students who lost all three items will be less than or equal to 21.

Hence, the minimum possible number of sixth-graders who lost all three items is 21.

Conclusion

The minimum possible number of sixth-graders who lost all three items (pen, pencil, and ruler) is 21.