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'The card game of Pinochle is played with an unusual deck of 48 playing cards, which has the usual four suits (Clubs, Diamonds, Hearts, and Spades), but with each suit containing two of each of the following cards: 9, 10, Jack, Queen, King, and Ace'

[a] What is the number of possible orderings of a Pinochle deck?

A Pinochle hand consists of 12 cards dealt from the deck at random.

[b] What is the probability that a hand contains both Queens of Spades and both Jacks of Diamonds?

[c] 100 Aces, worth 100 points, is the event that a hand contains an Ace from every suit. What is theprobability of getting 100 Aces?

[d] What is the probability that a hand contains both Aces of some suit?

Pinochle is often played as a partnership game, with 4 people playing, each receiving 12 cards, creating two teams.

[e] What is the probability that a speci_c partnership is dealt all 8 Aces?

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