There are 10 lamps in a hall. Each of them can be switched on independently. The number of ways in which the hall can be illuminated is
There are 10 lamps in a hall. Each 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 !
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Since each bulb has two choices, either switched on or off, therefore required number = 210 – 1 = 1023.
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