Answered

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A lock is using 3 digits from 1 to 7 as its lock combination, the numbers can be repeated. How many different possible lock combinations are there?

Sagot :

MrRoyal

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

Read more about combinations at:

https://brainly.com/question/15301090

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