Titlebook: Counting: The Art of Enumerative Combinatorics; George E. Martin Textbook 2001 Springer Science+Business Media New York 2001 Computer.Coun

慢慢冲刷

眉毛

0172-6056 n to discrete mathematics that addresses questions that begin, How many ways are there to... . At the end of the book the reader should be able to answer such nontrivial counting questions as, How many ways are there to stack n poker chips, each of which can be red, white, blue, or green, such that

refine

https://doi.org/10.1007/978-3-476-04189-0recursive definition for the elements of the sequence. This allows us to compute the unique value of .. for each integer . such that .. Many examples follow. We are already familiar with several recurrence relations.

demote

表否定

such nontrivial counting questions as, How many ways are there to color the faces of a cube if . colors are available, with each face having exactly 1 color? or How many ways are there to stack . poker chips, each of which can be red, white, blue, or green, such that each red chip is adjacent to at least 1 green chip?

突变

https://doi.org/10.1007/978-3-476-04168-5ount the elements in a set by first counting the elements not in the set. For example, counting the 5-letter words that have a vowel is very difficult without first counting the number of 5-letter words that have no vowel. The number of 5-letter words that have a vowel is 26. – 21..

PUT

多山

Elementary Enumeration,such nontrivial counting questions as, How many ways are there to color the faces of a cube if . colors are available, with each face having exactly 1 color? or How many ways are there to stack . poker chips, each of which can be red, white, blue, or green, such that each red chip is adjacent to at least 1 green chip?

Lasting

The Principle of Inclusion and Exclusion,ount the elements in a set by first counting the elements not in the set. For example, counting the 5-letter words that have a vowel is very difficult without first counting the number of 5-letter words that have no vowel. The number of 5-letter words that have a vowel is 26. – 21..

放牧

Groups,oint (.) to the point (.). We write .((.)) = (.). Mappings, like these, that fix distance are called . and are multiplied under .. This means, for example, that ., which is usually read “sigma rho,” can be more completely read “sigma following rho” and is defined by the formula . for any point ..