How many ways can ten cards be chosen from a deck of cards?

To determine how many ways ten cards can be chosen from a standard deck of 52 cards, we use the combination formula ( C(n, k) = \frac{n!}{k!(n-k)!} ), where ( n ) is the total number of cards, and ( k ) is the number of cards to choose. For this scenario, it would be ( C(52, 10) = \frac{52!}{10!(52-10)!} ). This calculation gives us the total number of combinations of ten cards from the deck, which equals 102,722,781.