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Combinatorics and Probability In probability theory, there are many applications of combinatorics. For example, when we find the probability of occurrence of a particular event A, we can use the below formula: P(A) = Probability that A occurs = Number of outcomes where A happen/Total number of possible outcomes.
In the 17th century, French mathematicians Blaise Pascal and Pierre de Fermat developed probability theory, and with that came many combinatorial developments and results.
Augustin-Louis Cauchy pioneered the study of analysis, both real and complex, and the theory of permutation groups.
In the West, combinatorics may be considered to begin in the 17th century with Blaise Pascal and Pierre de Fermat, both of France, who discovered many classical combinatorial results in connection with the development of the theory of probability.
Combinatorics is, arguably, the most difficult subject in mathematics, which some attribute to the fact that it deals with discrete phenomena as opposed to continuous phenomena, the latter being usually more regular and well behaved.
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Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures.
By considering the ratio of the number of desired subsets to the number of all possible subsets for many games of chance in the 17th century, the French mathematicians Blaise Pascal and Pierre de Fermat gave impetus to the development of combinatorics and probability theory.

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