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.
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!
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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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