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Why are there 9 functions mapping Set1 = (1,2) to Set2(1,2,3) in the category Set?


Subsets of natural numbers generated by two generatorsExplaining percentagesUnderstanding the concept of multiplicationDon't understand adding a system of compound inequalitiesWhat is this method of calculating int number times int number called?Real and Non-real Numbers; Value of Zero?How many k-ary functions are there for n-valued logic? And what are the formal language implications?Casework counting and overcounting: How many numbers can be obtained by adding certain partitions of a setDistribution of triangular, square, and pentagonal numbersHow is a - (b - c) = c - (b - a) called?













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I dont understand how you can go from a set of two numbers to a set of 3 numbers 9 ways. I count two identity functions, and four other functions mapping 1->2,1->3, 2->1, 2->3. Where do the 9 fucntions come from, and why are they represented as ordered pairs? What does that even mean, a function is an ordered pair?










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    $begingroup$
    Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
    $endgroup$
    – José Carlos Santos
    Mar 14 at 6:03















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$begingroup$


Question



Answer



I dont understand how you can go from a set of two numbers to a set of 3 numbers 9 ways. I count two identity functions, and four other functions mapping 1->2,1->3, 2->1, 2->3. Where do the 9 fucntions come from, and why are they represented as ordered pairs? What does that even mean, a function is an ordered pair?










share|cite|improve this question









New contributor




TheGusBus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$







  • 1




    $begingroup$
    Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
    $endgroup$
    – José Carlos Santos
    Mar 14 at 6:03













0












0








0





$begingroup$


Question



Answer



I dont understand how you can go from a set of two numbers to a set of 3 numbers 9 ways. I count two identity functions, and four other functions mapping 1->2,1->3, 2->1, 2->3. Where do the 9 fucntions come from, and why are they represented as ordered pairs? What does that even mean, a function is an ordered pair?










share|cite|improve this question









New contributor




TheGusBus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




Question



Answer



I dont understand how you can go from a set of two numbers to a set of 3 numbers 9 ways. I count two identity functions, and four other functions mapping 1->2,1->3, 2->1, 2->3. Where do the 9 fucntions come from, and why are they represented as ordered pairs? What does that even mean, a function is an ordered pair?







arithmetic






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edited Mar 14 at 6:24









Gerry Myerson

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asked Mar 14 at 5:56









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TheGusBus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






TheGusBus is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







  • 1




    $begingroup$
    Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
    $endgroup$
    – José Carlos Santos
    Mar 14 at 6:03












  • 1




    $begingroup$
    Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
    $endgroup$
    – José Carlos Santos
    Mar 14 at 6:03







1




1




$begingroup$
Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
$endgroup$
– José Carlos Santos
Mar 14 at 6:03




$begingroup$
Welcome to MSE. It is in your best interest that you type your questions (using MathJax) instead of posting links to pictures.
$endgroup$
– José Carlos Santos
Mar 14 at 6:03










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