The game of bridge is played by 4 players, each of whom is dealt 13 cards. How many bridge deals are possible?

The game

jeffp

Answered by Aaron 3 years ago

All cards from the 52 card deck will be dealt so we are taking 52 distinct objects into 4 distinct groups of size 13, so use the multinomial coefficient,

$$\begin{pmatrix} 52 \\ 13,13,13,13 \end{pmatrix} = \frac{52!}{13! 13! 13! 13!} = 53644737765488792839237440000 $$

possible arrangements.

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Asked: 3 years ago