Question

In one room. There was a 10 bulbs every bulb can turn on independently by itself, so how many ways you can glow the room.

Answer 1

Since each light can be switched on independently,

there are two options for each bulb (on or off)

∴Total no. of ways the bulbs can be operated= 2¹⁰

This includes all the bulbs are kept in off so that the room is not illuminated.

∴ The no. of ways in which the room is illuminated=2¹⁰−1=1023