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Compute the number of functions from a set with n elements to a set with m elements.?

Compute the number of functions from a set with n elements to a set with m elements.

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  • 1 decade ago
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    Answer: m^n

    Consider the set with n element. Every element can be mapped to any element of set with m elements. SO, there are m possible mappings

    for one elements.

    For all elements, there are m^n such mapping possible.

    So, there are m^n possible functions.

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  • Anonymous
    1 decade ago

    well froggs sit under a boat and bounce it along the water and they go so fast you cant feel the boat hopping so it just feels gracfull and also this was a silly question so here is my silly answer!!

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  • 1 decade ago

    What realm of math are we talking about? Linear algebra?

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