Consider function f: domain → codomain, where the domain is {4,5,6,7} and co-domain is given as {1 ,5 ,8 ,10 ,11 ,13 ,17 ,18 ,1

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1. Consider function f: domain → codomain, where the domain is {4,5,6,7} and co-domain is given
as {1 ,5 ,8 ,10 ,11 ,13 ,17 ,18 ,19 ,20}
(a) How many possible functions are there? How many injections? How many surjections?
(b) How many of these functions are strictly increasing? Explain. (A function is strictly increasing
provided if a<b, then f(a) < f(b).)

 
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