Short Answer TypeIs it true that for any sets A and B, P ( A ) ∪ P ( B ) = P ( A ∪ B )? Justify your answer.
Out of 500 car owners investigated, 400 owned car A, 200 owned car B, and 50 owned both cars A and B. Is the data correct?
Let U = Set of car owners
n(U) = 500 ...(i)
A set of owners of car A
n(A) = 400
B = Set of owners of car B
n(B) = 200 ....(ii)
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....(iii)
We know that 
which is wrong
Hence, the data is incorrect.
There are 200 individuals with skin disorder. 120 of them are exposed to chemical C1,50 to chemical C2 and 30 to both C1 and C2. Find the number of individuals :
(i) exposed to chemical C1, but not to chemical C2.
(ii) exposed to chemical C2 but not to chemical C1
(iii) exposed to C, or chemical C2 or both.
(iv) not exposed to any of the chemicals C1 and C2.
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