If the cards are all different then there are 13C7 = 1716 different hands.
The number of possible 4-card hands out of a 52 card deck is 270,725.
eleventeen
There are 2,598,960 5-card hands. This is combinatorials, which is used in probability but is not probability itself.
number of queen card = 4 number of cards in a deck of cards = 52 Probability of getting a queen card = 4/52 or 1/13
There is just one such card in a normal deck of cards.
To determine the number of possible 6-card hands from a 26-card deck, you can use the combination formula ( \binom{n}{r} ), where ( n ) is the total number of cards and ( r ) is the number of cards drawn. Here, ( n = 26 ) and ( r = 6 ). Thus, the number of 6-card hands is calculated as ( \binom{26}{6} = \frac{26!}{6!(26-6)!} = 26,234 ). Therefore, there are 26,234 possible 6-card hands.
The number of possible 4-card hands out of a 52 card deck is 270,725.
In a game of euchre using a 24-card deck, where each player is dealt 5 cards, the number of possible hands can be calculated using combinations. Specifically, the number of ways to choose 5 cards from a 24-card deck is given by the combination formula ( \binom{n}{k} ), which is ( \binom{24}{5} = \frac{24!}{5!(24-5)!} = 42,504 ). Thus, there are 42,504 possible euchre hands.
There are 1716 of them.
eleventeen
Assuming the 52 cards are all different, the first card can be any of the 52, the second card can be any of the remaining 51, and the third card can be any of the remaining 50, so there are 52x51x50 different three card hands possible.
This is a permutation, which is from 52 select 3, or52P3, or 132600. The other way to think of this is you have 52 choices for the first card, 51 choices for the second card, and 50 choices for the third card. Therefore you have 52*51*50 possible hands or 132600.
You can make 2,598,960 different 5 card hands (not counting permutations) with a standard 52 card deck.
There are 2,598,960 5-card hands. This is combinatorials, which is used in probability but is not probability itself.
23
30.769 % chance that you will draw a face card out of a deck of cards. 29.63 % chance that you will draw a face card out of a deck of cards with the jokers in deck.
The number of 5-card hands consisting of three of a kind can be calculated by choosing the rank for the three cards (13 options) and any two other cards (44 options remaining). Therefore, the number of 5-card hands consisting of three of a kind is 13 * 44 = 572.