If 40 students play cricket, 30 play football, and 10 play both, how many studen
Practice Questions
Q1
If 40 students play cricket, 30 play football, and 10 play both, how many students play either cricket or football?
60
70
50
80
Questions & Step-by-Step Solutions
If 40 students play cricket, 30 play football, and 10 play both, how many students play either cricket or football?
Step 1: Identify the number of students who play cricket. This is 40 students.
Step 2: Identify the number of students who play football. This is 30 students.
Step 3: Identify the number of students who play both cricket and football. This is 10 students.
Step 4: To find the total number of students who play either cricket or football, we use the formula: Total = (Number of cricket players) + (Number of football players) - (Number of students who play both).
Step 5: Plug in the numbers: Total = 40 + 30 - 10.
Step 6: Calculate the total: 40 + 30 = 70, then 70 - 10 = 60.
Step 7: The final answer is that 60 students play either cricket or football.
Inclusion-Exclusion Principle – A method used to calculate the size of the union of two or more sets by including the sizes of the individual sets and excluding the sizes of their intersections.
