There are 10 bulbs in a room each of which can be operated independently with 10 different switches. In how many ways the room can be illuminated?
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Each of the 10 bulbs can be operated independently.
Each bulb can be operated in two ways.
ON /OFF.
Total number of ways = 2^10
If all the 10 bulbs are in Off mode,the room cannot be illuminated.
Hence, total number of ways = 2^10 -1
= 1024 -1 =1023
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Hope it helps.
Each bulb can be operated in two ways.
ON /OFF.
Total number of ways = 2^10
If all the 10 bulbs are in Off mode,the room cannot be illuminated.
Hence, total number of ways = 2^10 -1
= 1024 -1 =1023
_____________________________
Hope it helps.
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