# Serious math: find a formula for the number of surjective function from a set with n elemente to a set with m?

Update:
To the first answerer:

you cannot assign one element of the domain to two different elements of the codomain,

therefore your choises are not always n.

you cannot assign one element of the domain to two different elements of the codomain,

therefore your choises are not always n.

Update 2:
The second choice depends on the first one.

Update 3:
The solution is quite difficult.

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