Three balls are simultaneously drawn from a bag containing 3 white balls (numbered 1 to 3), 5 red balls (numbered 1 to 5) and 6 black balls (numbered 1 to 6). (a) What is the probability that the three balls have the same colour? (b) What is the probability that two of the drawn balls have the same colour while the other ball has a different colour? (c) What is the probability that the three balls have distinct colours?

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