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Answer :

In the room there are 12 bulbs of same wattage, each having separate switch.


We have 2 options for each bulb i.e. either switching it ON or to switching it OFF.


The 1st bulb can be switched ON or OFF i.e. 2 choices.


The 2nd bulb can be switched ON or OFF i.e. 2 choices, and so on.


Now, for 12 bulbs we have total 212 choices.


But, as we have to illuminate the room, so the single choice in which all the 12 bulbs are OFF should be omitted.


So, we have total (212 – 1) ways to light the room with different amounts of illumination.

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