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A lock on a fence door has a 3 digitcombination. Each digit can be anynumber between 1 - 8. The onlyrestriction is that all 4 characters cannotbe the same (e.g. 111, 222, 333, etc.).How many combinations are possible?

Respuesta :

we have

Multiply them together you get

[tex]8\cdot8\cdot8=512[/tex]

But since all 4 characters cannot be the same, we subtract 8 from 512

[tex]512-8=504[/tex]

answer: 504 combinations

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