Justin w.

asked • 02/21/16

how many unique functions?

I am not sure how to answer this question
Let S = {1, 2} and T = {a, b, c}.

How many unique functions are there mapping S → T? (Is it 2? because (1,a) and (2,b) )

How many onto (surjective) functions are there mapping T → S

How many one-to-one (injective) functions are there mapping S → T?

Let f : S → T, is it possible to define f^(−1) <-- this is the inverse function
? Why or why not?
My answer is yes because since the S elements mapped exactly to one element of the set T

Thanks,

1 Expert Answer

By:

Arnold F. answered • 02/21/16

Tutor
5 (53)

College Professor & Expert Tutor In Statistics and Calculus

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