A -1-2-3-4-5 and B - a - b - The number of relations from A to B isA- 128B- 512C- 1024D- 256

The correct option is C 1024 Every relation from A to B is a subset of A × B. Every relation from A to B is an element of P(A × B). n(A× B) = 5 × 2 =10 Hence, ...

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Standard XI

Mathematics

Definition of Relations

A =1,2,3,4,5 ...

Question

A = { 1,2,3,4,5} and B = {a,b}. The number of relations from A to B is ___ .

128

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256

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512

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1024

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Solution

The correct option is D
1024

Every relation from A to B is a subset of A $\times$ B. Every relation from A to B is an element of P(A $\times$ B).

$n (A \times B) = 5 \times 2 = 10$

Hence, the total number of relations,

$N = 2^{10} = 1024$

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A = { 1,2,3,4,5} and B = {a,b}. The number of relations from A to B is ___ .

The correct option is D 1024 Every relation from A to B is a subset of A × B. Every relation from A to B is an element of P(A × B). n(A×B)=5×2=10 Hence, the total number of relations, N=210=1024

The correct option is D
1024

Every relation from A to B is a subset of A $\times$ B. Every relation from A to B is an element of P(A $\times$ B).

$n (A \times B) = 5 \times 2 = 10$

Hence, the total number of relations,

$N = 2^{10} = 1024$