Let $x$ and $y$ be sets and $|x|$ and $|y|$ are their respective cardinalities. It is given that there are exactly $97$ functions from $x$ to $y$.From this we can conclude that:
a) $|x|=1 ,|y|= 97$
b) $|x|= 97,|y|=1$
c) $|x|=97, |y|= 97$
d) None
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1Welcome to MSE. What have you tried? Also, read: https://math.meta.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference on how to format your question. – Bumblebee Nov 16 '21 at 03:47
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Welcome to [math.se] SE. Take a [tour]. You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an [edit]): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance. – 光復香港 時代革命 Free Hong Kong Nov 16 '21 at 03:54
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What is you definition of a "function" $f:X \to Y$ ? Does every $x \in X$ has an image $f(x)$ in $Y$ ? – Jean Marie Nov 16 '21 at 04:02
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No answer to my simple question ? – Jean Marie Nov 16 '21 at 04:36