Question

There are 100 students in a school. Each student is required to participate in an
extracurricular activity. The choices are art, cricket, basketball and swimming
3/10

of students are in art,
1
10
are in cricket and 17 play basketball. How many
students are going to participate in swimming ?

Answer 1

Step-by-step explanation:

Let Set A be the students playing cricket and Set B the students playing football.

Out of 100 students, 60% play cricket and 30% play football.

Set A (Cricket) = 60

Set B (Football) = 30

10% students play both cricket and football.

A ∩ B = 10

A ∪ B = A + B - (A ∩ B)

A ∪ B = 60 + 30 - 10 = 80

(A ∪ B)' = 100 - 80 = 20

Answer 2

30 in art

10 in cricket

17 in basketball

so 30+10+17=67 so now 100 - 67= 33

33 in swimming

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