Question

There are 10 lamps in a hall and each one of them can be switched on independently. find the total number of ways in which the hall can be illuminated?

Answer 1

The number of way
=>> 3628800

Answer 2

Answer:

The total number of ways in which the hall can be illuminated = 1023

Step-by-step explanation:

In the given question we have only two choices  either lamp should be on or off. Since at least one lamp should be kept switched on.

So,  Number of ways which the hall can be illuminated are

= 2 × 2 × 2× 2 × 2 × 2 × 2 × 2 × 2 × 2 - 1

= $2 ^{10}$ - 1

= 1024 - 1

= 1023

The total number of ways in which the hall can be illuminated = 1023