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Many-One into Function

Let A =1,2,3,...

Question

Let A = {1,2,3,4} and B = { x,y,z}. Then R = {(1,x) , ( 2,z), (1,y), (3,x)} is

A

relation from B to A

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B

relation from A to B

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C

is not a relation

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D

relation from B to B

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Solution

The correct option is B
relation from A to B

The given set R= {(1,x) , ( 2,z), (1,y), (3,x)} is a subset of the cross product A x B and any subset of the cross product A x B is a relation from A to B , so
R= {(1,x) , ( 2,z), (1,y), (3,x)} is a relation from A to B.

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