4. There is a horse race with 10 horses where 5 horses have a black coat, 3 horses have a brown coat and 2 horses have a grey coat. (a) How many different ways can they finish 1st, 2nd and 3rd if the first place finisher is a horse with a black coat and no other horses with a black coat comes 2nd or 3rd? (b) How many different ways can there be a top 5 finish with at least one horse with a grey coat?

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