Question

There are 10 lamps in a hall. Each one of them can be switched on independently. The number of ways in which the hall can be illuminated is:

a. 2¹⁰
b. 10!
c. 10²
d. 2⁵

Answer 1

The number of ways in which the hall can be illuminated is 2^10.

Step-by-step explanation:

The number of ways in which the hall can be illuminated is 210 (a).

To find this, we use the concept of independent events. Since each lamp can be switched on independently, we have 2 choices for each lamp - either it is switched on or off. Considering that there are 10 lamps in total, the total number of ways in which the hall can be illuminated is 210.