In a room there are 12 bulbs of the same wattage ,each having a separate switch . the number of ways to light the room with different amounts of illumination is
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In a room there are 12 bulbs of the same wattage ,each having a separate switch. We have to find the number of ways to light the room with different amounts of illumination.
There are two ways for every bulb. Each bulb can be either switched on or switched off.
So, number of combinations = 2¹²
But there is only 1 case in which all the bulbs are switched off.
So, number of ways = 2¹² - 1
Hopefully it is helpful. Thanks.
There are two ways for every bulb. Each bulb can be either switched on or switched off.
So, number of combinations = 2¹²
But there is only 1 case in which all the bulbs are switched off.
So, number of ways = 2¹² - 1
Hopefully it is helpful. Thanks.
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