Mark the correct alternative in the following: In a room there are 12 bulbs of the same wattage, each having a separate switch. The number of ways to light the room with different amounts of illumination is

Question

Philoid · Accepted 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 1^st bulb can be switched ON or OFF i.e. 2 choices.

The 2^nd 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.

Mark the correct alternative in the following:In a room there are 12 bulbs of the same wattage, each having a separate switch. The number of ways to light the room with different amounts of illumination is

Mark the correct alternative in the following:
In a room there are 12 bulbs of the same wattage, each having a separate switch. The number of ways to light the room with different amounts of illumination is