There are 15 plugs in a box, of which six are known to be faulty. Three plugs are taken at random fr

There are 15 plugs in a box, of which six are known to be faulty. Three plugs are taken at random from the box. Work out the probability that

(A) all three plugs are faulty

(B) none of the three plugs is faulty

(C) at least one of the three plugs is faulty

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