Let X be a non-empty finite set and 

Y = {f-1(0) : f is a real-valued function on X}.  

Which one of the following statements is true? 

1
Y is an infinite set. 
2
Y has 2|x| elements. 
3
There is a bijective function from X to Y.  
4
There is a surjective function from X to Y.

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