Question

during a sport event 100 students are allowed to play either tennis or badminton. 30 of them chose to play tennis and 48 chose to play badminton. out of these students 10 students opted for both tennis and badminton. Given that X students chose not to play at all. how many chose not to play at all?​

Answer 1

Answer: 32 students chose not to play at all.

Explanation:

number of students who play either tennis or badminton = 100

number of students play tennis only = 30

number of students play badminton only = 48

number of students playing both = 10

Let the number of players not choosing to play be x.

According to Venn diagram equation : P(T∩B)' = P(T)+P(B)-P(T∩B)

100-x = 30+48-10

100-x = 68

x = 32