Q6 of 43 Page 16

In a class, 8 students out of 28 have a dog as their pet animal at home, 6 students have a cat as their pet animal. 10 students have dog and cat both, then how many students do not have a dog or cat as their pet animal at home?

Given: n(A) = 8, n(B) = 6 and n (A ∩ B) = 10

n(A) = number of students having only dog as pet


n(B) = number of students having only cat as pet


n (A ∩ B) = number of trees planted by both of them together


Total students having a dog or cat as their pet animal at home = 8 + 6 + 10


= 24


Hence, number of students do not have a dog or cat as their pet animal at


Home = 28 – 24 = 4


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