In a class, 25 students play cricket, 20 play football, and 5 play neither. How

₹0.0

Question: In a class, 25 students play cricket, 20 play football, and 5 play neither. How many students play at least one sport?

Options:

Correct Answer: 30

Solution:

Total students = 25 + 20 - (students who play both) + students who play neither. Since 5 play neither, 30 play at least one sport.

In a class, 25 students play cricket, 20 play football, and 5 play neither. How many students play at least one sport?

In a class, 25 students play cricket, 20 play football, and 5 play neither. How many students play at least one sport?

Step 1: Identify the total number of students who play cricket, which is 25.
Step 2: Identify the total number of students who play football, which is 20.
Step 3: Identify the number of students who play neither sport, which is 5.
Step 4: Calculate the total number of students in the class. This is the sum of students who play cricket and football, minus those who play both (which we don't know yet), plus those who play neither.
Step 5: Since we don't have the number of students who play both, we can use the information we have: Total students = Students who play at least one sport + Students who play neither.
Step 6: Rearranging the equation gives us: Students who play at least one sport = Total students - Students who play neither.
Step 7: Calculate the total number of students: 25 (cricket) + 20 (football) - (students who play both) + 5 (neither) = Total students.
Step 8: Since we know 5 students play neither, we can find the total number of students who play at least one sport: 30.

Set Theory – Understanding how to calculate the total number of elements in overlapping sets using the principle of inclusion-exclusion.
Basic Arithmetic – Performing addition and subtraction to find totals.