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In a class of 100 students, 55 students have passed in Mathematics and 67 students have passed in Physics. Then the number of students who have passed in Physics only is

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By Expert Faculty of Sri Chaitanya
a
22
b
33
c
10
d
45
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detailed solution

Correct option is D

n(M)=55,n(P)=67,n(M∪P)=100 Now, n(M∪P)=n(M)+n(P)−n(M∩P)100=55+67−n(M∩P)∴n(M∩P)=122−100=22n(P only )=n(P)−n(M∩P)=67−22=45


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