Permutations And Combinations Question 166

Question: 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 amount of illumination is

Options:

A) $ 12^{2}-1 $

B) $ 2^{12} $

C) $ 2^{12}-1 $

D) $ 12^{2} $

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Answer:

Correct Answer: C

Solution:

  • [c] For each bulb there are two possibilities. It will be switched either on or off. Hence, total number of ways in which the room can be illuminated is $ 2^{12}-1. $