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How many functions f:{1,2,3,4,5} → {1,2,3,4,5,6,7.8} so that the range of f contains at least one...

How many functions f:{1,2,3,4,5} → {1,2,3,4,5,6,7.8} so that the range of f contains at least one even number? I know the answer is 31744 but could you explain how the answer was achieved? Thanks

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