JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Mock Test - Permutations and Combinations

  • question_answer
    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

    A) \[{{12}^{2}}-1\]        

    B) \[{{2}^{12}}\]

    C) \[{{2}^{12}}-1\]        

    D) \[{{12}^{2}}\]

    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 \[{{2}^{12}}-1.\]

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