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In a room there are 12 bulbs of the same...

In a room there are 12 bulbs of the same wattage, each having separate switch. The number of ways to light the room with different amounts of illumination is (a)`12^2-1` (b) `2^(12)` (c) `2^(12)-1` (d) none of these

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`.^12C_1+.^12C_2+.^12C_3....^12C_12`
`2^12-.^12C_0`
`2^12-1`.
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