eleventeen
There are 2,598,960 5-card hands. This is combinatorials, which is used in probability but is not probability itself.
If the cards are all different then there are 13C7 = 1716 different hands.
There are 1584 hands possible with 2 Kings, 2 Jacks and 1 other card which is not a King or a Jack.
This is a combinations question. There are (52 C 13) possible hands. This is 52!/((13!)((52-13)!)) = 635013559600
2 red fours in a 52 card deck.
There are 1716 of them.
There are 2,598,960 5-card hands. This is combinatorials, which is used in probability but is not probability itself.
If the cards are all different then there are 13C7 = 1716 different hands.
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 are 52 possible outcomes if you pick a card from a deck of 52.
There are 1584 hands possible with 2 Kings, 2 Jacks and 1 other card which is not a King or a Jack.
52*51*50 ------------- = 22100 three-card hands 3!
This is a combinations question. There are (52 C 13) possible hands. This is 52!/((13!)((52-13)!)) = 635013559600
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.
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.
(4 nCr 3)x(4 nCr 2)=4x6=24
You can draw C(52,13) = 52! /13! 39! = 635 013559 600 different 13-card hands from a deck of 52 cards.