Permutations and Combinations Questions

1:

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.

102

B.

1023

C.

210

D.

10!

 

Answer : B

Explanation :

SASIKALA K said: (7:35am on Wednesday 21st February 2018)
Total number of lamps =10Since at least one lamp is to be kept switched onThe total number of ways are10C1 10C2 ....10C1010C1 10C2 ....10C10⇒210−1⇒210−1⇒1024−1⇒1024−1⇒1023

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Option: A

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