A box has 10 red balls, 10 green balls, 10 blue balls and 10 yellow balls, and for each colour the balls are labelled 1,2,..., 10. Suppose five balls are chosen from the box. (a) How many ways can you choose 5 balls (with no further constraints)? (b) How many ways can you choose 5 balls so that exactly 4 of them are the same colour? (c) How many ways can there be three of one colour and two of another colour.

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