Combinatorics is concerned with defining a finite or discrete mathematical system, and then solving problems relating to the selection and arrangement of numbers or items within that system. A typical problem in combinatorics is to determine the...

The study of permutations and combinations is at the root of several topics in mathematics such as number theory, algebra, geometry, probability, statistics, discrete mathematics, graph theory, and many other specialties. A permutation is an ordered...

Combinatorics is the study of combining objects by various rules to create new arrangements of objects. The objects can be anything from points and numbers to apples and oranges. Combinatorics, like algebra, numerical analysis and topology, is a...

Combinatorics is a branch of pure mathematics concerning the study of discrete (and usually finite) objects. It is related to many other areas of mathematics, such as algebra, probability theory, ergodic theory and geometry, as well as to applied...

Search yields math proof no one can check "Don't touch this problem. It's too difficult. You may not get anywhere, and you may never graduate." That was the advice Clement Lam received nearly 20 years ago when he was a graduate student....

Abstract These Smarandache spaces are right theories for objectives by logic. However, the mathematical combinatorics is a combinatorial theory for branches in classical mathematics motivated by a combinatorial speculation. Both of them are unifying theories for sciences and contribute more and more to...