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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.

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How many 5 card hands consisting of three of a kind can be drawn from a standard 52 card 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.


Consider a standard deck of 52 cards how many different four cars hands have no red cards?

26 of the 52 cards are black. For each of those cards, the second card in your hand may not be the same card, but it may be any of the 25 remaining ones. The third card, likewise, can not be the first two, but can be any of the 24 remaining. For a four card hand that's 26 * 25 * 24 * 23 = 358800 possible hands However, that number includes sets that are effectively duplicates (1,2,3,4 and 4,3,2,1 are both accounted for in that number, but for our purposes those are the same hand). We can arrange each set of cards 4 * 3 * 2 * 1 = 24 ways. So to remove those possibilities we take 358800/24 = 14950 possible hands of all black cards.


How many different hands of a 13-card might you have out of standard deck of 52 playing?

You can draw C(52,13) = 52! /13! 39! = 635 013559 600 different 13-card hands from a deck of 52 cards.


What are the chances of a royal flush on the flop and the turn in Texas hold 'em?

There are 2,598,960 possible five-card hands. There are 4 combinations of royal flushes in 5 cards. Therefore, the odds are 649,739:1. There are 20,358,520 possible six-card hands. There are 188 combos of royal flushes in 6 cards. Therefore, the odds are 108,290:1.


From a standard 52 card deck how many 5 card hands will have 3 spades and 2 hearts?

The maximum number of 5-card hands with 3 spades and 2 hearts is 4. The least is 0. There are 13 spade cards and if at least 3 spades are needed in a hand, only 4 hands can be formed.

Related Questions

How many 7 card hands are possible with a 13 cards deck?

If the cards are all different then there are 13C7 = 1716 different hands.


How many 5 card hands consisting of three of a kind can be drawn from a standard 52 card 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.


How many different 10 card hands can be drawn from 10 standard deck of 52 cards?

There are 15,820,024,220 ways.


How many possible hands are there for getting 3 cards of the same suit?

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.


Consider a standard deck of 52 cards how many different four cars hands have no red cards?

26 of the 52 cards are black. For each of those cards, the second card in your hand may not be the same card, but it may be any of the 25 remaining ones. The third card, likewise, can not be the first two, but can be any of the 24 remaining. For a four card hand that's 26 * 25 * 24 * 23 = 358800 possible hands However, that number includes sets that are effectively duplicates (1,2,3,4 and 4,3,2,1 are both accounted for in that number, but for our purposes those are the same hand). We can arrange each set of cards 4 * 3 * 2 * 1 = 24 ways. So to remove those possibilities we take 358800/24 = 14950 possible hands of all black cards.


If there are 270725 possible 4-card hands?

The number of possible 4-card hands out of a 52 card deck is 270,725.


How many cards should be included in a deck for a standard card game?

A standard deck for card games typically includes 52 cards.


What is the standard size of a Cards Against Humanity card?

The standard size of a Cards Against Humanity card is 2.5 inches by 3.5 inches.


How many different hands of a 13-card might you have out of standard deck of 52 playing?

You can draw C(52,13) = 52! /13! 39! = 635 013559 600 different 13-card hands from a deck of 52 cards.


What are the possible combinations in Texas Hold'em poker?

In Texas Hold'em poker, there are 2,598,960 possible combinations of five cards that can be made from a standard 52-card deck.


How much is a king card worth in a standard deck of playing cards?

A king card is worth 10 points in a standard deck of playing cards.


What is the value of the highest card in spades in a standard deck of playing cards?

The highest card in spades in a standard deck of playing cards is the Ace of Spades.