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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.**

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

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

4. There are four ways to draw one king and only one way to draw 4 queens.

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

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.

Shuffling a deck of cards creates new combinations of hands . Unless you're playing dishonestly, all the cards in a game will be the same. Only after they're dealt will the hands be different. In genetics, crossing over creates new combinations of genes from a set of existing genes.

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There are 15,820,024,220 ways.

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

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

23

4. There are four ways to draw one king and only one way to draw 4 queens.

You can make 2,598,960 different 5 card hands (not counting permutations) with 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

The number of different 3-card hands that can be dealt from a deck of 52 cards is given by the combination formula, which is: C(52, 3) = 52! / (3! * (52 - 3)!) = 22,100 Therefore, there are 22,100 different 3-card hands that can be dealt from a deck of 52 cards.

The Queen of Spades holds a sceptre and the others hold flowers.

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.

The probability is 0.0599

On the face cards, each character is showing one hand, except that the King of Hearts shows both. So there are 13 hands depicted, and each depiction appears twice on each card, for a total of 26 hands showing.(This does not include the various depictions of Jokers, which could add 4, 3, 2, 1, or 0 additional hands in a deck of 54 cards.)