Elements of combinatorics. Combinatorics

Elements of combinatorics.

Combinatorics

Combinatorics is a section

mathematics, which studies

questions choice or location

elements sets according to

with given rules.

"Combinatorics" comes from the Latin

the words " combina ", what is translated into english

means "combine".

HISTORICAL REFERENCE
The term "combinatorics" was introduced into mathematical use by the world-famous German scientist G.W. Leibniz , who in 1666 published "Discourses on Combinatorial Art" .
In the 18th century, other outstanding mathematicians turned to solving combinatorial problems. Yes, Leonhard Euler considered problems on partitioning numbers, on matchings, on cyclic arrangements, on the construction of magic and Latin squares.
G.W. Leibniz

Combinatorics deals with various kinds of compounds ( permutations, placements, combinations ) that can be formed from elements of some finite set.

Combinatorics deals with various kinds of compounds ( permutations, placements, combinations ) that can be formed from elements of some finite set.

Combinatorial compounds

• Permutations
• Permutations without repetition
• Permutations with repetitions
• Accommodations
• Placements without repetition
• Placements with repetitions
• Combinations
• Combinations without repetition
• Combinations with repetitions

Permutations are compounds that can be made up of n elements , changing their order in all possible ways.

Permutations are compounds that can be made up of n elements , changing their order in all possible ways.