The question is an illustration of selection (or combination)
The number of lock combination is 343
The given parameters are:
[tex]n = 7[/tex] --- the number of digits to select from
[tex]r = 3[/tex] --- the number of digits the lock uses
Because the digits can be repeated, the number of lock combinations is:
[tex]Lock = n^r[/tex]
So, we have:
[tex]Lock = 7^3[/tex]
[tex]Lock = 343[/tex]
Hence, the number of lock combination is 343
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