In a class of 42 students. 30 of them play football and 25 of the play badminton. How manystudents play both games?
Question
In a class of 42 students. 30 of them play football and 25 of the play badminton. How manystudents play both games?
Solution
To solve this problem, we need to use the principle of inclusion and exclusion.
Step 1: Add the number of students who play football and the number of students who play badminton. 30 (football) + 25 (badminton) = 55
Step 2: However, by doing this, we have counted the students who play both games twice. To correct this, we need to subtract the total number of students from this sum. 55 - 42 (total students) = 13
So, 13 students play both games.
Similar Questions
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 50 students, each one plays either tennis or badminton orboth. 30 of the students play tennis and 32 play badminton.i. How many play both the game ?ii. How many play only tennis ?iii. How many play only badminton ?
In a school, there are 120 students who play either football or cricket or both. If the number of students who play football is 80, and 40 students play both football and cricket, how many students play only cricket? Options 20 40 30 50
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?
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
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.