Set Theory Test...

Let  $$U=\{x: \in, W: 3<x< 12\} $$, $$B=\{4,6,8,10\}$$ . $$B'$$

$$P\cap Q\cup R$$

Given $$P(A \cup B)=0.6, P(A\cap B)=0.2$$, the probability of exactly one of the event occurs is

If $$A, B$$ and $$C$$ are any three set, then $$A \cup (B\cap C) =$$

If $$A = \left \{1, 2, 3, 4\right \}$$, what is the number of subsets of A with at least three elements?

The set of integers is closed with respect to which one of the following?

In the Venn diagram, the numbers represent the number of elements in the subsets. Given that $$\xi = F\cup G\cup H$$ and $$n(\xi) = 42$$, find $$n(G'\cup H)$$

$$(P\cap Q)\cup (Q\cap R)$$

In a school with an envolment of $$950$$ students, each student must join either the lions club or the country club or both. Given that $$646$$ students are members of the lions club and $$532$$ are members of the country club, calculate the number of students who are members of both clubs

If A and B be two sets containing $$4$$ and $$8$$ elements respectively, what can be the maximum number of elements in $$A\cup B$$? Find also, the minimum number of elements in $$(A\cup B)$$?