Lock

A combination lock will open when the right choice of 3 numbers (from 1 to 16 inclusive) is selected.

A. How many different lock combinations are possible?
B. Is the combination lock named appropriately?

Correct answer:

A =  4096
B =  0

Step-by-step explanation:

$$\begin{gathered} n=3 \\ m=16 \\ A=m^n=16^3=4096 \end{gathered}$$

$B=0=0$

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