Question

Let A = { x , y , z } and B = { 1 , 2 } find the number of relation from A to B​

Answer 1

Hello Mate!!

Your answer might be:-

✔️It is given that A = {x, y, z} and B = {1, 2}.

∴ A × B = {(x, 1), (x, 2), (y, 1), (y, 2), (z, 1), (z, 2)}

✔️Since n(A × B) = 6, the number of subsets of A × B is 2^6.

⭕Therefore, the number of relations from A to B is 2^6.

Thank_you_have_a_wonderful_day_ahead

Answer 2

$\fbox{ \fbox{ \huge{\bold{Given :- \: }}}}$

$\bold{A = ( \: x \: , \: y \: , \: z \: ) }\\ </p><p> \bold{B = ( \: 1 \: , \: 2 </p><p> \: )}$

$\fbox{ \fbox{ \bold{ \huge{To \: Find :- \: }}}}$

$\bold{Number \: Of \: Relations \: From \: A \: To \: B \: }$

$\fbox{ \fbox{ \bold{ \huge{Solution :- \: }}}}$

$\bold{Number \: Of \: Relations \: \: = \: Number \: Of \: Subsets \: A \: To \: B \: } \\ \bold{n ( A × B ) = n ( A ) × n ( B ) \: } \\ \bold{n ( A × B ) = 3 × 2 \: } \\ \bold{n ( A × B ) = 6 \: }$

$\bold{Subsets \: Of \: A × B = \: {2}^{6} } = \bold{64}$

$\bold{ \underline{Hence \: , \: Number \: Of \: Relations \: Is \: 64 \: }}$