2. If P and Q are two sets such that P has 40 elements, P has 60 elements and P Q has 10
elements, how many elements does Q have?
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From the question we are clearly given the number of elements in P as 40 which means that n(P) = 40. Also we are given that the number of elements in P ∪ Q has 60 elements that is n(P ∪ Q) = 60. And P ∩ Q contains 10 elements therefore we have n(P ∩ Q) = 10.
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