How many different sets of 5 cards each can be formed from a standard deck of 52cards?
Table of Contents
- 1 How many different sets of 5 cards each can be formed from a standard deck of 52cards?
- 2 How many ways of possible sets of 5 cards you can get from a deck of cards if you do not care the order of the card?
- 3 How many different 5 card hands are possible?
- 4 How many different 5 card hands can be dealt from a deck of 52 cards of the hand consists of exactly 2 aces?
- 5 How many 5 card hands are possible with no hearts?
- 6 How many ways are there to get a full house in a five-card poker hand?
How many different sets of 5 cards each can be formed from a standard deck of 52cards?
2598960 different ways
5! = 2598960 different ways to choose 5 cards from the available 52 cards.
How many ways of possible sets of 5 cards you can get from a deck of cards if you do not care the order of the card?
Your 52! 47! is the number of ways to deal 5 cards: it counts each of the 5! =120 possible dealing orders of a given hand separately.
How many 5 cards are in a deck?
Originally Answered: How many 5s are in a deck of cards? A deck of cards consists of 13 cards in each of four suits for a total of 52. As there are four suits and every suit includes one 5, there are four 5s.
How many full house combinations are there made out of 5 cards?
4C3 = 3744 possible full houses. A hand that is a flush must consist of all five cards being of the same suit. Each of the four suits has 13C5 = 1287 possible five-card hands that are all of the same suit. However, some of those combinations are also straight flushes.
How many different 5 card hands are possible?
2,598,960 distinct
Probability of a Full House First, count the number of five-card hands that can be dealt from a standard deck of 52 cards. We did this in the previous section, and found that there are 2,598,960 distinct poker hands. Next, count the number of ways that five cards can be dealt to produce a full house.
How many different 5 card hands can be dealt from a deck of 52 cards of the hand consists of exactly 2 aces?
Explanation: There are 6 choices for the 2 Aces based on 4 suits in a standard deck: Clubs, Hearts, Diamonds, Spades. For each of these choices there are 4 choices for the 3 Kings (basically one choice for each suit not included). This gives a combination of 6×4=24 possible hands.
How many ordered 5 card cards can be drawn from a deck of 52 cards without replacement?
Correct answer: The key points we need to remember are that order matters and that we are sampling without replacement. This then becomes a simple permutation problem. We have 52 cards to be chosen 5 at a time, so the answer is 52 * 51 * 50 * 49 * 48.
How many ways can a 5 card hand contain two pair?
If we order the 5-card hand with the two pairs first, we have 13C2 choices for the two numbers showing on the two pairs. Each pair will have two out of four suits. Thus, we have 4C2·4C2 = 6·6 = 36 ways to choose the suits.
How many 5 card hands are possible with no hearts?
There number of cards that are not hearts is 52−13 = 39. Thus, the number of hands that contain no hearts is C39,5. Thus, the probability of getting a hand with no hearts is C39,5 C52,5 ≈ 0.2215 .
How many ways are there to get a full house in a five-card poker hand?
Frequency of 5-card poker hands
| Hand | Distinct hands | Frequency |
|---|---|---|
| Full house | 156 | 3,744 |
| Flush (excluding royal flush and straight flush) | 1,277 | 5,108 |
| Straight (excluding royal flush and straight flush) | 10 | 10,200 |
| Three of a kind | 858 | 54,912 |
How many 5 cards in hand will have 3 aces and 2 kings?
There are 24 5-hand card that will have 3 aces and 2 kings.
How many 5 cards selection that contain at least one club?
According to Wolfram|Alpha is equal to 2,023,203 possible hands involving at least one club. Also rather than calculating this directly as above we can see that since there are (395) ways of choosing a hand not involving a club then there must be (525)−(395) ways of choosing a hand that has at least one club.