Cardinal number of a finite set - class-IX
Description: cardinal number of a finite set | |
Number of Questions: 23 | |
Created by: Amal Dixit | |
Tags: relations and functions set concepts sets maths fundamentals introduction to set |
If $A\subset B$, then $n[P(A)]$ ______ $n[P(B)]$
If $A $and $B$ are not disjoint, then $\displaystyle n\left( A \cup B \right) $ is equal to
If $n(A) = n(B)$ then
If $n(A) = n(B)$ then:
The set contains $5$ elements, then the number of elements in the power set $P$ $(A)$ is equal to
Number of elements in a set is called __________
In a city $20\%$ of the population travels by car, $50\%$ travels by bus and $10\%$ travels by both car and bus. Then, persons travelling by car or bus is
The number of elements of the power set of a set containing $n$ elements is
Let $U$ be the universal set for sets $A$ and $B$ such that $n(A)=200 , n(B)=300$ and $n(A\cap B)=100$, then $n(A'\cap B')$ is equal to $300$ provided that $n(U)$ is equal to
If $\displaystyle n(U)=700,n(A)= 200,n(B)= 240,n(A\cap B)= 100,$ then $\displaystyle n(A'\cup B') $ is equal to
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 $n(A) =$ ________
Americans like at least one of cheese or apples. A survey shows that $63$% of the Americans like cheese while $76$% like apples. If $x$ % of the Americans like both cheese and apples, then
Let the sets $A={2,4,6, 8, ...}$ and $B={3, 6, 9, 12, ...}$, and $n(A)=200, n(B)=250$. Then
In a group of children $35$ play football out of which $20$ play football only, $22$ play hockey; $25$ play cricket out of which $11$ play cricket only. Out of these $7$ play cricket and football but not hockey, $3$ play football and hockey but not cricket and $12$ play football and cricket both. How many play all three games?