Set Theory Test...

If m$$=$$ number of distinct rational numbers p/q $$\in (0, 1)$$ such that p, q $$\in \{1, 2, 3, 4, 5\}$$ and n$$=$$ number of onto mappings from $$\{1, 2, 3\}$$ onto $$\{1, 2\}$$, then $$m-n$$ is?

In a universal set x,$$n\left( x \right) = 50$$ ,$$n\left( A \right) = 35$$ , $$n\left( B \right) = 20$$ , $$n\left( {A' \cap B'} \right) = 5$$ ,then $$n\left( {A \cup B} \right),n\left( {A \cap B} \right)$$ are repsectively 

If  $$A$$  and  $$B$$  are two non empty sets then  $$( A \cup B ) ^ { C } = ?$$

Let $$S={1,2,3,.....10}$$ and $$P={1,2,3,4,5}$$ The number of subsets $$'Q'$$ of $$S$$ such that $$p \cup Q=S$$, are.....

If 'p' is true and 'q' is false, then which of the following statement is not true?

The number of subsets $$ R$$ of $$P=(1,2,3,....,9)$$ which satisfies the property "There exit integers a<b<c with a$$\in $$R, b$$\in $$R,c$$\in $$R" is

If the number of $$5$$ elements subsets of the set $$A\left\{\ a_{1},a_{2}.....a_{20}\right\}$$ of $$20$$ distinct elements is $$k$$ times the number of $$5$$ elements subsets containing $$a_{4}$$, then $$k$$ is 

If $$p$$ and $$q$$ are two proposition, then $$\sim(p\leftrightarrow q)$$ is 

If two sets $$P$$ and $$Q,n\left(P\right)=5,n\left(Q\right)=4$$ then $$n\left(P\times Q\right)=$$

The statement that is true among the following is