Let A = {x, y, z} and B = {1, 2}. Find the nu | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Given sets are $A = \{x, y, z\}$ and $B = \{1, 2\}$.The number of elements in $A$ is $n(A) = 3$ and the number of elements in $B$ is $n(B) = 2$.Th

Vedclass · Accepted Answer

$2^{6}$

Vedclass · Answer

(B) Given sets are $A = \{x, y, z\}$ and $B = \{1, 2\}$.The number of elements in $A$ is $n(A) = 3$ and the number of elements in $B$ is $n(B) = 2$.The Cartesian product $A 	imes B$ contains $n(A) 	imes n(B) = 3 	imes 2 = 6$ elements.$A$ relation from $A$ to $B$ is defined as a subset of $A 	imes B$.The total number of subsets of a set with $n$ elements is $2^{n}$.Therefore,the number of relations from $A$ to $B$ is $2^{6} = 64$.

Let $A = \{x, y, z\}$ and $B = \{1, 2\}$. Find the number of relations from $A$ to $B$.

Similar Questions

Let $A$ be the set of even natural numbers that are $< 8$ and $B$ be the set of prime integers that are $< 7$. The number of relations from $A$ to $B$ is:

Let $R$ be the relation in the set $N$ given by $R = \{(a, b) : a = b - 2, b > 6\}$ then which of the following is correct?

Let $A = \{2, 3, 4, 5\}$ and $B = \{3, 6, 7, 10\}$. $A$ relation $R$ is defined from $A$ to $B$ such that $xRy \iff x$ is relatively prime to $y$. What is the domain of $R$?

Let $R$ be a relation on $N$ defined by $x + 2y = 8$. The domain of $R$ is

If $R$ is a relation from set $A$ to set $B$,then

Vedclass Test Series

Exam Paper Generator

Online Exam Module