A market research group conducted a survey of $2500$ consumers and reported that $1620$ consumers like product $p _{1}$ and $1500$ consumers like product $p _{2}$ then (Note $A$ and $B$ denotes the set of products $p _{1}$ and $p _{2}$ respectively)
In a community it is found that $52$% people like coffee and $73$% like tea. If $x\%$ like both coffee and tea then
Let $\displaystyle n\left ( u \right )=700,n\left ( A \right )=200, n\left ( B \right )=300, n\left (A\cap B \right )=100$, then $n\left ( A'\cap B' \right )=$
Let $A$ and $B$ be two sets such that $\displaystyle n\left( A \right) =70$ and $\displaystyle n\left( B \right) =60$ and $\displaystyle n\left( A \cup B \right) =110 $. Then $\displaystyle n\left( A \cap B \right) $ is equal to
Out of 100 students, 50 fail in English and 30 in Mathematics. It 12 students fail in both English and Mathematics, the number of students passing both these subjects is
Let $A$ and $B$ be two sets such that $n(A)=70, n(B)=60$ and $n(A\cup B)=110$. Then $n(A\cap B)$ is equal to-
If sets $A$ and $B$ are not disjoint, then $n(A\cup B)$ is equal to
$A = {$ An integer whose square is a negative value$}$ is
Let $S$ be a set of all distinct numbers of the form $\dfrac{p}{q}$, where $p, q$ $\in [1, 2, 3, 4, 5, 6]$. What is the caardinality of the set $S$?
$n[P(A)] = 16$, then $n(A) =$ ________