Question

in a year group of 113 student 60 liked hockey 45 liked rugby and 18 liked neither. calculate the number of students who liked both rugby and hockey ​

Answer 1

Answer: 10

Step-by-step explanation:

Total number of students = 113

we require to find the number of students who like both hockey and rugby.

number of students who like game = total number of students - students who doesn't like either one

= 113 - 18 = 95 = A ∪ B

So equation become

A ∪ B = A + B - A ∩ B

95 = 60 + 45 - A ∩ B

A ∩ B = 105-95 = 10.