Question

Решите кругами эйлера!!!! На первом туре олимпиады школьникам было предложены 4 задачи, и на второй тур допускали только, тех все их решил. На первый тур пришло 200 ребят. Первую задачу решили 180 человек, вторую 170, третью 160, четвёртую 150. Поместятся ли школьники, допущенные на второй тур, в классной комнате, вмещающей не более 50 человек? а) в любом случае поместятся. б) в любом случае не поместятся. в) могут поместиться, а могут и не поместиться.

Answer 1

На рисунке количество решивших каждую задачу показано своим цветом, всё подписано. Указана искомое пересечение.

1 и 2 задачу решили: 180+170-200=150 человек
3 и 4 задачу решили 160+150-200=110 человек
Все задачи решили 150+110-200=60 человек.

60>50

Ответ: б) В любом случае не поместятся

Answer 2

Для решения задачи построим круг Эйлера. В круге будут представлены четыре множества: A, B, C и D, соответствующие

Answer 3

Solving the Euler Circles

To solve this problem, we can use the principle of Euler circles, which is a method for visualizing and analyzing the relationships between different sets. In this case, we'll use it to determine if the students who advanced to the second round of the competition can fit into a classroom that can accommodate no more than 50 people.

Calculating the Total Number of Students Who Advanced to the Second Round

To begin, let's calculate the total number of students who advanced to the second round of the competition.

The number of students who solved the first problem = 180 The number of students who solved the second problem = 170 The number of students who solved the third problem = 160 The number of students who solved the fourth problem = 150

To find the total number of students who advanced to the second round, we can sum the students who solved each problem: Total = 180 + 170 + 160 + 150 Total = 660

Determining if the Students Can Fit in the Classroom

Now, let's determine if the 660 students who advanced to the second round can fit into a classroom that can accommodate no more than 50 people.

The students who advanced to the second round: 660 Classroom capacity: 50

To determine if the students can fit in the classroom, we can compare the total number of students to the classroom capacity.

660 > 50

As the total number of students who advanced to the second round (660) exceeds the classroom capacity (50), the students will not fit in the classroom.

Therefore, the answer is: b) в любом случае не поместятся.

This conclusion is based on the calculation and comparison of the total number of students who advanced to the second round and the capacity of the classroom.