If 40 students play cricket, 30 play football, and 10 play both, how many students play either cricket or football?
Practice Questions
1 question
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
Using inclusion-exclusion, the total is 40 + 30 - 10 = 60.
Questions & Step-by-step Solutions
1 item
Q
Q: If 40 students play cricket, 30 play football, and 10 play both, how many students play either cricket or football?
Solution: Using inclusion-exclusion, the total is 40 + 30 - 10 = 60.
Steps: 7
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.
