Poker Hands Permutations Combinations

1. Poker Hands Permutations Combinations Chart
2. Poker Hands Permutations Combinations Worksheet

• Suppose you have 1 card: A. There's only one way you can put it in order.
• If you have two cards A and B, you can arrange them in two different ways. They can be AB or BA.
• With three cards A,B and C there are six different ways: ABC, ACB, BAC, BCA, CAB, CBA

How many different 5 card poker hands can be formed from a deck of 52 cards? This is obviously related to the number of permutations. If we start with all the possible permutations of 5 cards out of 52, the answer would be Number = 52(51)(50)(49)(48)=311,875,200. Combinations, on the other hand, are pretty easy going. The details don't matter. Alice, Bob and Charlie is the same as Charlie, Bob and Alice. Permutations are for lists (order matters) and combinations are for groups (order doesn't matter). You know, a 'combination lock' should really be called a 'permutation lock'. There are more card facts and big numbers at Chances of Card Hands. Craps - How to Play, Chances and Payouts. Blackjack - Hit or Stand? UK National Lottery Odds. More game numbers and stats at The Roulette Wheel - and How to Worry the Casino! The Betting Guide - and how to work out the Bookie's profit! A combination is like permutation, but order doesn't matter. A hand consisting of the ace of spades, queen of hearts, 2 of clubs, jack of diamonds, and 7 of hearts is exactly the same as a hand consisting of the queen of hearts, jack of diamonds, ace of spades, 7 of hearts, and 2 of clubs-and neither will get you anywhere in poker. The number of hands in poker is then #hands = 52! = 2,598,960 This number is important: we'll be using it to compute the probability of getting different hands. Combinations is written as C n,m = n m = n! And expressed as 'n choose m.' Probability of getting a Royal Flush.

Let's move on a bit.

• If you've got four cards you can arrange them in 4! = 24 ways.
• If you've got five cards you can arrange them in 5! = 120 ways.
• If you've got six cards you can arrange them in 6! ways = 720 ways.

Poker Hands Permutations Combinations Chart

• The number of ways you can arrange 10 cards is 3,628,800
• The number of ways you can arrange 13 cards is 6,227,020,800
• The number of ways you can arrange 20 cards is 2,432,902,008,176,640,000. That's two and a half billion billion.

If you're good at odds and card games, have a look at this guide from CardsChat.com to find some online sites for UK players. Or, for an easier way of putting your knowledge of odds and chance to the test, try some online casino games like roulette or blackjack – you can find the best options at this UK site or test your skills at online pokies Australia. You'll find even more choice at best online casino uk.

So how many ways can you order all the 52 cards in a pack?

The sum is 52x51x50x49x48....x4x3x2x1 and the answer is:

80,658,175,170,943,878,571,660,636, 856,403,766,975,289,505,440, 883,277,824,000,000,000,000

That's roughly the same as an 8 with 67 zeros after it.

To put this in perspective, the dinosaurs died out 65,000,000 years ago, and the age of the earth is just 4,500,000,000 years. Now suppose everybody in the world was to arrange packs of cards at the rate of one per second, it would take 600,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 years to get all the combinations! That's why you're VERY unlikely ever to shuffle a pack of cards the same way twice.

Other pages of interest:

• Suppose you have 1 card: A. There's only one way you can put it in order.
• If you have two cards A and B, you can arrange them in two different ways. They can be AB or BA.
• With three cards A,B and C there are six different ways: ABC, ACB, BAC, BCA, CAB, CBA

How many different 5 card poker hands can be formed from a deck of 52 cards? This is obviously related to the number of permutations. If we start with all the possible permutations of 5 cards out of 52, the answer would be Number = 52(51)(50)(49)(48)=311,875,200. Combinations, on the other hand, are pretty easy going. The details don't matter. Alice, Bob and Charlie is the same as Charlie, Bob and Alice. Permutations are for lists (order matters) and combinations are for groups (order doesn't matter). You know, a 'combination lock' should really be called a 'permutation lock'. There are more card facts and big numbers at Chances of Card Hands. Craps - How to Play, Chances and Payouts. Blackjack - Hit or Stand? UK National Lottery Odds. More game numbers and stats at The Roulette Wheel - and How to Worry the Casino! The Betting Guide - and how to work out the Bookie's profit! A combination is like permutation, but order doesn't matter. A hand consisting of the ace of spades, queen of hearts, 2 of clubs, jack of diamonds, and 7 of hearts is exactly the same as a hand consisting of the queen of hearts, jack of diamonds, ace of spades, 7 of hearts, and 2 of clubs-and neither will get you anywhere in poker. The number of hands in poker is then #hands = 52! = 2,598,960 This number is important: we'll be using it to compute the probability of getting different hands. Combinations is written as C n,m = n m = n! And expressed as 'n choose m.' Probability of getting a Royal Flush.

Let's move on a bit.

• If you've got four cards you can arrange them in 4! = 24 ways.
• If you've got five cards you can arrange them in 5! = 120 ways.
• If you've got six cards you can arrange them in 6! ways = 720 ways.

Poker Hands Permutations Combinations Chart

• The number of ways you can arrange 10 cards is 3,628,800
• The number of ways you can arrange 13 cards is 6,227,020,800
• The number of ways you can arrange 20 cards is 2,432,902,008,176,640,000. That's two and a half billion billion.

If you're good at odds and card games, have a look at this guide from CardsChat.com to find some online sites for UK players. Or, for an easier way of putting your knowledge of odds and chance to the test, try some online casino games like roulette or blackjack – you can find the best options at this UK site or test your skills at online pokies Australia. You'll find even more choice at best online casino uk.

So how many ways can you order all the 52 cards in a pack?

The sum is 52x51x50x49x48....x4x3x2x1 and the answer is:

80,658,175,170,943,878,571,660,636, 856,403,766,975,289,505,440, 883,277,824,000,000,000,000

That's roughly the same as an 8 with 67 zeros after it.

To put this in perspective, the dinosaurs died out 65,000,000 years ago, and the age of the earth is just 4,500,000,000 years. Now suppose everybody in the world was to arrange packs of cards at the rate of one per second, it would take 600,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 years to get all the combinations! That's why you're VERY unlikely ever to shuffle a pack of cards the same way twice.

Other pages of interest:

Poker Hands Permutations Combinations Worksheet

More game numbers and stats at The Roulette Wheel - and How to Worry the Casino!