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How many different bridge hands of 13 cards can be dealt from a 52 card deck?
Wiki User
∙ 14y ago
The entire deck is dealt out for each hand of bridge. The maximum number of different hands that can be dealt is 52 x 51x 50 x 49 x 48 x 47 x 46 x 45 x 44 x 43 x 42 x 41 x 40. This equals
3,954,242,643,911,240,000,000 possible different deals.
or
three-sextillion, nine-hundred-fifty-four-quintillion, two-hundred-forty-two-quadrillion, six-hundred-forty-three-trillion,nine-hundred-eleven-billion, two-hundred-forty-million possible bridge hands. (U.S and modern British)
or
three-thousand-nine-hundred-fifty-four-trillion, two-hundred-forty-two-thousand-six-hundred-forty-three-billion, nine-hundred-eleven-thousand-two-hundred-forty-million possible bridge hands. (Continental Europe and/or Traditional British)
Quite a few possible hands.
Wiki User
∙ 12y ago
Wiki User
∙ 6y agoThere are 635,013,559,600 possible hands. Richard Pavlicek did the maths, here's a quote from his (fantastic) website:
"It's an enormous number, but it is easily calculated with combinatorial arithmetic. The formula for the number of combinations of N items taken R at a time is given by:
N!
--------------
R! × (N-R)!
The notation N! (N factorial) means the product of all integers from 1 through N.
For example, 6! = 720.
First, let's use this formula to determine the number of bridge hands that can be dealt to one player. Setting N=52 and R=13, the calculation becomes:
52!
------------
13! × 39!
This is the number of possible bridge hands, equal to 635,013,559,600."
Wiki User
∙ 13y agoThe entire deck of cards is dealt out for a game of bridge. Each player gets 13 cards.
Wiki User
∙ 6y agoThere are 635,013,559,600.
Anonymous
635 billion
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How many possible hands are there in the game of bridge?
Bridge is played with one standard deck of 52 cards. The jokers are discarded.The cards are dealt out one at a time until the entire deck is used. Each player has 13 cards in their hand.A second deck is also on the table so that the dealer's partner can shuffle the used deck while the dealer is dealing out the cards that were previously shuffled. In this way there is no time lost waiting for cards to be shuffled.
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You are dealt a 5-card hand from a deck of 52 cards Let event F equal all the cards in your hand are from the same suit and let event S equal the numbers of your cards form an uninterrupted sequen?
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