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6. A deck of cards in a game contains all four suits (Clubs and Spades , which are black, and Hearts and Diamonds , which

6. A deck of cards in a game contains all four suits (Clubs and Spades , which are black, and Hearts and Diamonds , which are red), but only the cards with values 5, 6, 7, 8, 9, and 10.

  1. How many different 5- card hands can be formed using this deck?
  2. How many different 5-card hands can be formed that contain at least 4 red cards?
  3. How many different 5-card hands can be formed that contain at least one club and at least one heart?
  4. How many different 5-card hands can be formed that contain at least one spade and at least two 10s?

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