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Six boys and four girls at a birthday party play pin-the-tail-onthe-donkey, and first, second, and third place prizes are given to the three best players.

Six boys and four girls at a birthday party play pin-the-tail-onthe-donkey, and first, second, and third place prizes are given to the three best players. If a boy wins first prize, a girl wins second prize, and another girl wins third prize:

  1. How many different groups of winners can there be?
  2. How many different arrangements of first, second, and third are there?

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