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

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

J
240 points

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

8.7k points

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.

Z
0 points

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