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Question

If A={a,b,c,d},& B={1,2,3}, which of the following sets of ordered pairs are not relations from AtoB?


A

{(a,1),(a,3)}

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B

{(b,1),(c,2),(d,1)}

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C

{(a,2),(b,3),(3,b)}

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D

{(a,1),(b,2),(c,3)}

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Solution

The correct option is C

{(a,2),(b,3),(3,b)}


Explanation for correct option.

Given, A={a,b,c,d}, & B={1,2,3},

A relation from AtoBis define as (x,y),suchthatxA&yB

{(a,2),(b,3),(3,b)}

In the above set

(a,2)&(b,3)A×BBut(3,b)A×B

Hence, the correct option is (C).


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