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Given that:

  • There are 4 suits (spades, hearts, diamonds, clubs) per deck.
  • Each suit contains 4 cards valued at 10 points (10, Jack, Queen, King)
  • Each suit contains one 7

Thus there are 16 10-point cards and 4 7-point cards (64 possible 10+7 combinations)

  • Each suit contains one ace and one 6

Thus there are 4 11-point cards and 4 6-point cards (16 possible 11+6 combinations)

Therefore there are 80 possible 2-card combinations totaling 17 points.

For combinations of more than two cards, that's a whole other ball game.

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