The operation of a machine is monitored on a set of three lamps A, B and C,

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The operation of a machine is monitored on a set of three lamps A, B and C, each of which at any given instant is either ‘on’ or ‘off’. Faulty operation is indicated by each of the following conditions:

(a) When both A and B are off;

(b) When all lamps are on;

(c) When B is on and either A is off or C is on.

Simplify these conditions by describing as concisely as possible the state of the lamps that indicates faulty operation.

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