What Are Some Recommended Books for Learning Combinatorics?

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Hello community. I'd like to know about good books dealing with combinatorics that you might recommend. I'm a math major who has neglected this area for some time now and essentially I feel like I don't know how to count. Advice is welcome!
 
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We need to know the goal more clearly. Do you just want practice at solving problem like "How many 4 handed poker hands are there where one player has 2 red jacks?" Or do you want more advanced treatments of things like generating functions? Can you write computer programs? Writing programs to enumerate combinations is an interesting topic (as opposed to merely saying what total numbers of such things exist.)
 
Hi all, I've been a roulette player for more than 10 years (although I took time off here and there) and it's only now that I'm trying to understand the physics of the game. Basically my strategy in roulette is to divide the wheel roughly into two halves (let's call them A and B). My theory is that in roulette there will invariably be variance. In other words, if A comes up 5 times in a row, B will be due to come up soon. However I have been proven wrong many times, and I have seen some...
Namaste & G'day Postulate: A strongly-knit team wins on average over a less knit one Fundamentals: - Two teams face off with 4 players each - A polo team consists of players that each have assigned to them a measure of their ability (called a "Handicap" - 10 is highest, -2 lowest) I attempted to measure close-knitness of a team in terms of standard deviation (SD) of handicaps of the players. Failure: It turns out that, more often than, a team with a higher SD wins. In my language, that...

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