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Formula to find out all possible combinations for a 3-digit keyless door lock? - possible combinations lock

My office has a 5-button keyless locking the door. It is merely an old mechanical 3 digits for each button activates a lock. There are only 5-digit, 1 to 5 It is almost identical to this, type:

http://www.drillspot.com/pimages/124/12422_300.jpg

I am looking for a way to cover all possible combinations of this CRL. The limitation of this system is that the door of a finger is not used twice in the code, for example, a valid code is 123, but 111 is not, and it is .. not 121 or 112 for what she calls the number of ways to achieve significant reductions of 125, which is what would happen if you could use the same number twice. Is there an Excel (or VBA), which could be used a formula to generate this list?

There is no intelligent answers to try to stop me! :) I have to prove to my boss that it is very dangerous. Like any company that stores a large amount of sensitive information in the premises, and all he needed was a security hole to sink at us!