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Description
Combinatorics: A Very Short IntroductionHow many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations, its
How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations, its scope has broadened to include topics such as graph theory, partitions of numbers, block designs, design of codes, and latin squares. In this Very Short Introduction Robin Wilson gives an overview of the field and its applications in mathematics and computer theory, considering problems from the shortest routes covering certain stops to the minimum number of colours needed to colour a map with different colours for neighbouring countries.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Binding Type: Paperback
Publisher: Oxford University Press, USA
Published: 07/01/2016
ISBN: 9780198723493
Pages: 144
Weight: 0.30lbs
Size: 6.80h x 4.20w x 0.50d
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4.5 ★★★★★
Based on 17 reviews
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Product Reviews
★★★★★ 4
Beloved But Beware Microplastic Chip-Offs
Color: Bacon
My doodle adores this thing and gnaws on it constantly. He has not been able to harm it, which is great. That’s the best part. Things to be aware of:
1. This is mostly molded plastic; it is a bit heavy and very hard. My dog tosses it into the air and if it lands on him, it HURTS. A lot.
2. While it’s sturdy, sharp teeth eventually gnaw pieces and little shavings off the toy. These are microplastics and could be harmful if your dog swallows them.
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Reviewed in the United States on January 13, 2026
★★★★★ 5
Very sturdy chew toy
Color: Bacon
My Frenchy loves it! He’s not a large dog, but big for a French Bulldog. (32 lbs). He chews both ends, but prefers the snout. The eyes are cute, but began to peel off within the first week. I easily removed what was peeling. Half of the paint remained intact. When necessary, I will definitely replace it with the same toy.
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Reviewed in the United States on May 29, 2026
★★★★★ 5
Great chew toy, long lasting
Color: Bacon
This chew toy has been amazing. We have had it for 2 months with 2 dogs chewy on it and it is still going strong. We have a large Golden who chews on everything and and German Shepherd. Big dogs who chew aggressively. Very impressed! Would definitely buy again!
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Reviewed in the United States on May 25, 2026
★★★★★ 5
Buy it!
Color: Bacon, Color: Bacon
They love it! Very durable and a great squeaker that is seemingly indestructible! Definitely getting it in other colors, and impressed at the quality for the price. Don’t hesitate on this one- corgi and dachshund approved!
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Reviewed in the United States on May 29, 2026
★★★★★ 5
Perfect for young pups who get bored easily!
Color: Bacon, Color: Bacon
Our pup recently turned 1 and gets bored very easily, so she’s always looking for something new to chew or play with. We got her this little alligator toy and she is OBSESSED with it! She carries it everywhere and plays with it constantly. I’m honestly surprised by how durable it’s been considering how much use it gets. If you want to help save your furniture and household items from becoming chew toys, do yourself a favor and grab this for your pup!
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Reviewed in the United States on May 19, 2026