Assuming 3 players; A,B and C play a game of blackjack where the game is simplified with each player being dealt with exactly 2 cards each. And there are no Hit, Stand, Double down, Split, or Surrender. And it is a fair and well shuffled 52 cards deck.
From my prior post, I understand that as long as the players are only able to see the cards in their hand, the possibilities are equal among the 3 players $\binom{52}{2}$ regardless of whether the cards are dealt in group of 2 or 1 at a time from one player to another.
However, if we were to tweak the rules of game that the first card for each player will be dealt opened with player A being dealt first, player B second and player C third;
player A first open card = 5 of spades
player B first open card = 2 of hearts
player C first open card = 2 of diamonds
After all three open cards are dealt, the sequences of how the closed cards will be dealt is the same; player A first, player B second and player C third.
Does the possibilities now change to:
player A: (52)(52-3)
player B: (52-1)(52-4)
player C: (52-2)(52-5)
Kindly advise