Question

Printer allows for optional settings with a panel of six​on-off switches in a row. how many different settings can she select if there are no restrictions on the switches​?

Answer 1

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.