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Q.

In a school that has 200 students, 120 play football, 70 play cricket, and 60 play both. The number of students plays neither football nor cricket is

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a

60

b

90

c

80

d

70

answer is C.

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Detailed Solution

Question Image 

n(F)=120

n(C)=70

n(F∩C)=60

n(F∪C)=n(F)+n(C)−n(F∩C)

=120+70−60

=190−60

=130

n(F∪C)=130

∴  Number of students play neither football nor cricket=200−130=70

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In a school that has 200 students, 120 play football, 70 play cricket, and 60 play both. The number of students plays neither football nor cricket is