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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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Q: How many 3 card hands are possible from a standard deck of 52 cards?
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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 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.


How many cards lower than the number 10 are in a deck of cards?

You can make 2,598,960 different 5 card hands (not counting permutations) with a standard 52 card deck.


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.


What is the highest card number in standard deck of cards?

The highest number card in a standard deck of cards is the number ten. Some games use the picture cards to represent values higher than ten but there are no numbers on these cards.


How many different 5-card hands with 3 red cards and 2 black cards can be made from a standard 52-card deck?

There are 26 red cards and 26 black cards. 3 red cards can be chosen in 26C3 ways 2 black cards can be chosen in 26C2 ways The required answer is 26C3 X 26C2 ways. Answer: 1067742 S Suneja