There are 2×2×2×2×2×2 = 2⁶ = 64 possible settings.
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Each switch can be in 2 positions, and for each of those, the other switches can have all possible settings. 1 switch has 2 settings. 2 switches will have 2×2 settings. 3 switches will have 2×2×2 settings.
Answer:

Step-by-step explanation:
Given the equation

Note that

and

Combined, 
Solve the equation:

Since
this is the solution to the equation.