]> Definition
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## Definition

To put a set in correspondence with another means to pair off elements of the first set with those of the other one.
For example we can put the set ${ a , b , c }$ in correspondence with ${ 1 , 2 , 3 }$ by pairing a with $1 , b$ with 2 and $c$ with 3.
There is not a similar correspondence of ${ a , b }$ with ${ 1 , 2 , 3 }$ , although we can form a correspondence of ${ a , b }$ with a subset of ${ 1 , 2 , 3 }$ , for example, with ${ 2 , 3 }$ .

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