1.

There are 10 lamps in a hall. Each one of them can be switched on independently.Find the number of ways in which the hall can be illuminated.(A)102(B)1023(C)2610(D)10!

Answer»

Given :

Total number of lamps =10

Since at least one lamp is to be kept switched on

The total number of ways are

10C1+10C2+....10C10

⇒210−1

⇒1024−1

⇒1023

Hence (B) is the correct answer.



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