Final answer:
There are 635,013,559,600 ways to deal hands from a standard playing deck to four players.
Step-by-step explanation:
To calculate the number of ways to deal hands from the deck to four players, we can use the concept of combinations. Each player should receive 13 cards, so we need to determine the number of ways to select 13 cards from a deck of 52.
The number of ways to select 13 cards from a deck of 52 can be calculated using the formula for combinations, which is given by C(n, k) = n! / (k!(n-k)!), where n is the total number of items and k is the number of items being selected.
Using this formula, the number of ways to select 13 cards from a deck of 52 is C(52, 13) = 52! / (13!(52-13)!) = 635,013,559,600.
Therefore, there are 635,013,559,600 ways to deal hands from a standard playing deck to four players.