Question

din a class of 72 students,50 students like to play chess and 45 students like to play football.25 students like to play both the games. How many students play at least one of the games? How many students play only chess?Draw Venn diagram.​ pls give the answer step by step .

Answer 1

Here, let A be the set of students who likes to play cricket and B be the set of students who likes to play football.

As per question: n(A∪B)=35

n(A)=24

n(A∩B)=5

We know, n(A∪B)=n(A)+n(B)−n(A∩B)

⇒n(B)=n(A∪B)−n(A)+n(A∩B)

=35−24+5

=16

Hence number of students who like to play football =16.