Back to Directory

Combinatorics

Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures.  

Combinatorics has several approaches and subfields that include: counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met, and constructing and analyzing objects meeting the criteria (as in combinatorial designs and matroid theory), finding "largest", "smallest", or "optimal" objects (extremal combinatorics and combinatorial optimization), and studying combinatorial structures arising in an algebraic context, or applying algebraic techniques to combinatorial problems (algebraic combinatorics).

vCalc's Combinatorics library contains equations cutting across several sub-fields of combinatorics.

Parent Categories:

Combinatorics Calculators

Combinatorics Equations

  • Circular Permutations by vCalc
  • Circular r-Permutation of n Elements by vCalc
  • Combinations C(n,k) by vCalc
  • Combinations with Repetitions by vCalc
  • Conditional Probability of B given A by vCalc
  • factorial by vCalc
  • Gamma Function by vCalc
  • Permutations by vCalc
  • Permutations with repetition by vCalc
  • Prime Number Theorem by vCalc
  • Stirling's Formula by vCalc
  • 1 to 31 by KurtHeckman
  • Circular r-Permutation of n elements by GerryPerham
  • Comparison Permutations by MichaelBartmess
  • Count of Combinations (nCr) by MichaelBartmess
  • Law of Total Probability P(A+B) by MichaelBartmess
  • Permutations nPr by MichaelBartmess
  • Powerball Chances by MichaelBartmess
  • Probability of A and B by MichaelBartmess
  • Probability of A or B by MichaelBartmess
  • Probability of Flush losing (fraction) by MichaelBartmess
  • Probability of Flush losing (percentage) by MichaelBartmess
  • Probability of Four of a Kind losing (fraction) by MichaelBartmess
  • Probability of Four of a Kind losing (percentage) by MichaelBartmess
  • Probability of Full House losing (fraction) by MichaelBartmess
  • Probability of Full House losing (percentage) by MichaelBartmess
  • Probability of High Card losing (fraction) by MichaelBartmess
  • Probability of High Card losing (percentage) by MichaelBartmess
  • Probability of Non-independent Events (A, B) by MichaelBartmess
  • Probability of One Pair losing (fraction) by MichaelBartmess
  • Probability of One Pair losing (percentage) by MichaelBartmess
  • Probability of Royal Flush losing (fraction) by MichaelBartmess
  • Probability of Royal Flush losing (percentage) by MichaelBartmess
  • Probability of Straight Flush losing (fraction) by MichaelBartmess
  • Probability of Straight Flush losing (percentage) by MichaelBartmess
  • Probability of Straight losing (fraction) by MichaelBartmess
  • Probability of Straight losing (percentage) by MichaelBartmess
  • Probability of Three of a kind losing (fraction) by MichaelBartmess
  • Probability of Three of a kind losing (percentage) by MichaelBartmess
  • Probability of Two Pair losing (fraction) by MichaelBartmess
  • Probability of Two Pair losing (percentage) by MichaelBartmess
  • Stirling Numbers by cjlynch

Combinatorics Constants