Knowee
Questions
Features
Study Tools

32 students play basketball and 25 students play volleyball. It is found that 20 students playb0th the games. Find the number of students playing at least one game. Also, find total number ofstudents if 13 students play none of these games

Question

32 students play basketball and 25 students play volleyball. It is found that 20 students playb0th the games. Find the number of students playing at least one game. Also, find total number ofstudents if 13 students play none of these games

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this problem, we can use the principle of inclusion and exclusion.

Step 1: First, we add the number of students who play basketball and volleyball. 32 (basketball players) + 25 (volleyball players) = 57 students

Step 2: However, we have double-counted the students who play both games. So, we subtract the number of students who play both games. 57 (from step 1) - 20 (students who play both games) = 37 students

So, there are 37 students who play at least one game.

To find the total number of students, we add the number of students who play at least one game to the number of students who don't play any game.

37 (students who play at least one game) + 13 (students who play none of these games) = 50 students

So, the total number of students is 50.

This problem has been solved

Similar Questions

In a school, 20 students play cricket, 30 play basketball and 50 play hockey. If the number of students who play exactly one game is 30 and the number of students who play exactly two games is 20, find the number of students who play all the three games.151016Cannot be determined

In a class of 30 students, 18 play basketball, 12 play soccer, and 8 play both basketball and soccer. How many students play only basketball?

In a class of 120 students, 30 of them play football, 60 of them play basketball, and 15 of them play both. How many students do not play either of these sports?Question 18Answera.50b.45c.39d.60

In a class of 35 students, 24 like to play cricket and 16 like to play football. Also, each student like to play at least one of the two games. How many students like to play both cricket and football?

In a class of 42 students. 30 of them play football and 25 of the play badminton. How manystudents play both games?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.