# Number of card hands.

• September 9th 2010, 02:25 PM
steph3824
Number of card hands.
Not entirely sure how to do this. Would appreciate some help.

In a game of poker, five players are each dealt 5 cards from a 52-card deck. How many ways are there to deal the cards?
• September 10th 2010, 04:08 AM
mr fantastic
Quote:

Originally Posted by steph3824
Not entirely sure how to do this. Would appreciate some help.

In a game of poker, five players are each dealt 5 cards from a 52-card deck. How many ways are there to deal the cards?

$\displaystyle {52 \choose 5} \cdot {47 \choose 5} \cdot {42 \choose 5} \cdot {37 \choose 5} \cdot {32 \choose 5} = ....$