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How many functions exist from X to Y?

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Hello,

my problem is this:

X={1,2,3,4} and Y={1,2,3,...,n}
How many functions exist from X to Y?
How many functions exist from Y to X?

Is the first one n(n-1)(n-2)(n-3) ? Tha'ts my guess, but I don't really know!

Thanks for any help.

-john

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Solution Summary

The expert determines how many functions exist from X to Y.

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A function from X to Y is a set of ordered pairs

f = {(1, a), (2, b), (3, c), (4, d)}, a,b,c,d in Y={1,2,...,n}

Since f does ...

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