Question

У школі працюють два гуртки: математичний і краєзнавчий. Відомо ,що у 8-му класі навчається 25 учнів, і кожен із них відвідує принаймні один із цих гуртків. Якщо 17 учнів відвідує математичний гурток, 18 учнів - краєзнавчий, то скільки учнів 8-го класу відвідує обидва гуртки?

Answer 1

Вот, посмотри на фотке

Answer 2

Calculating the Number of Students Attending Both Clubs

To find out how many students attend both the math and local lore clubs, we can use the principle of inclusion and exclusion.

1. Total Number of Students in 8th Grade: - The total number of students in the 8th grade is 25.

2. Number of Students Attending the Math Club: - 17 students attend the math club.

3. Number of Students Attending the Local Lore Club: - 18 students attend the local lore club.

4. Calculating the Number of Students Attending Both Clubs: - We can use the principle of inclusion and exclusion to find the number of students attending both clubs. - The formula for this is: ``` Total = Math Club + Local Lore Club - Both Clubs ```

- Substituting the given values: ``` 25 = 17 + 18 - Both Clubs ```

- Solving for the number of students attending both clubs: ``` Both Clubs = 17 + 18 - 25 = 35 - 25 = 10 ```

Conclusion

Therefore, 10 students from the 8th grade attend both the math and local lore clubs.