Question

In a class of 30 students, 17 like to play cricket, 19 like to play hockey, and 2 students do not play any game. How many students play both cricket and hockey?

a) 8
b) 10
c) 12
d) 15

Answer 1

Step-by-step explanation:

To find the number of students who play both cricket and hockey, we can use the principle of inclusion-exclusion. First, we know that there are 17 students who like cricket, 19 students who like hockey, and 2 students who do not play any game. Now, we can set up an equation using the principle of inclusion-exclusion: 17 + 19 - x = 30 - 2

Simplifying the equation, we get: x = 4, Therefore, there are 4 students who play both cricket and hockey.

To find the number of students who play both cricket and hockey, we can use the principle of inclusion and exclusion. We have 30 students in total, with 17 playing cricket, 19 playing hockey, and 2 who do not play any game. The formula to find those who play both is: Number of students who play both cricket and hockey = (Number who play cricket) + (Number who play hockey) - (Total number of students) + (Number who play neither)

Substituting the given values gives us the following: 17 (cricket) + 19 (hockey) - 30 (total) + 2 (play neither) = 8