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Mathematics - Discrete Structures

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I need to know how to get the number of possible onto functions (as opposed to the number of one-to-one functions) in between sets A and B:

A: {1, 2, 3, 4, 5}

B: {a, b, c}.

Please help if you can.

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Find the number of possible onto (surjective) functions (as opposed to the number of one-to-one functions) in between sets A and B:

A: {1, 2, 3, 4, 5}

B: {a, b, c}.
Let A have m elements, B have n elements and n  m.
Let ...

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A Complete, Neat and Step-by-step Solution is provided in the attached file.

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