How many different 3 card hands can be dealt from a deck of 52 cards? The order of the cards does not matter in this case.
The number of different 3-card hands that can be dealt from a deck of 52 cards, where the order of the cards does not matter, can be calculated using the combination formula.
In this case, we want to find the number of combinations of 52 cards taken 3 at a time. This can be calculated using the formula:
nCr = n! / (r!(n-r)!)
where n is the total number of items (cards) and r is the number of items (cards) we want to choose.
Plugging in the values, we have:
n = 52 (number of cards in the deck)
r = 3 (number of cards in each hand)
52C3 = 52! / (3!(52-3)!) = 22,100
Therefore, there are 22,100 different 3-card hands that can be dealt from a deck of 52 cards, where the order of the cards does not matter.