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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

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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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