Sets Test - 16...

In a community of $175$ persons, $40$ read TOI, $50$ read the Samachar Patrika and $100$ do not read either. How many persons read both the papers?

If $S$ and $T$ are two sets such that $S$ has $21$ elements, $T$ has $32$ elements and $\displaystyle S\cap T$ has $11$ elements, then
find the number of elements in $\displaystyle S\cup  T$.

In any continuous class interval table (a-b)

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

$P\cap Q\cup R$

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

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

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

$A - (B\cup C)$

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 $(A\cup B)$?