Q. 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) $2^{10}$
B) $10!$
C) 1023
D) $10^{2}$
Explanation
(c)
The hall can be illuminated by switched on at least one of the 10 bulbs. Therefore, the required number of ways is $2^{10} - 1 = 1023$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.