How many unique ways can I deal a deck of cards which has repeating cards?

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I have a card game which has 7 type of unique cards for a total of 21. The structure of the deck is the following:

  • card A: 2x
  • card B: 2x
  • card C: 2x
  • card D: 3x
  • card E: 3x
  • card F: 4x
  • card G: 5x

At the start of the game the deck is shuffled and 1 card is discarded. Then, the 2 players are dealt 6 cards each. Then, the player who starts draws a card.

I am looking for each unique combinations of cards player 1 can have in their hands after they draw a card.