Question

if n(A)=4 , n(B)=3 then number of relations from A to B is​

Answer 1

Answer:

let n(a) = 4 , n(b) = 3

n(A×B) = n(A) ×n(B) = 12

no of relations =

2^12

4096

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Answer 2

$\large \underline{ \underline{ \sf \: Answer : \: \: \: }}$

$\star$No. of relation from A to B = 4096

$\large \underline{ \underline{ \sf \: Solution : \: \: \: }}$

Number of elements in A × B is

$\sf n(A × B) = n(A) × n(B) \\ \\ </p><p> \sf </p><p>= 4 × 3 \\ \\ \sf</p><p></p><p>= 12$

Since n(A × B) = 12 , the number of subsets of A × B is ${(2)}^{12}$

Therefore , the number of relation from A into B will be ${(2)}^{12}$ i.e 4096

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