Question

In a class of 58 students, 20 follow cricket, 38 follow hockey and 15 follow basketball. How many students exactly follow two of these three games

Answer 1

Answer:

Step-by-step explanation:

Universal set= 58

Cricket=20

Hockey=38

Basketball=15

3 play all the three games

Then find out how many play exactly 2 of these3 games

n(A∪B∪C)=∑n(A)-∑n(A∩B)+n(A∩B∩C)

58=(20+38+15)-∑(A∩B)+3

58=73-∑A∩B-3

∑A∩B=73-58+3

=15+3

=18

But 18 is not the answer because we have to find how many follow only 2 games

So,it will be= 18-9(3 students play all three games so 3*3 because it is common in all the three)

So the final answer his 9