Discrete mathematics is the part of mathematics devoted to the study of discrete objects. (

More generally discrete mathematics is used whenever objects are counted, when relationship between finite ( or countable) sets are studied, and when processes involving a finite number of steps are analyzed. A key reason for the growth in the importance of discrete mathematics in that information is stored and manipulated by computing machines in a discrete fashion.

*Here discrete means consisting of distinct or unconnected elements.)*The kind of problems solved using discrete mathematics include:- How many ways are there to choose a valid password on a computer system ?

- What is the probability of winning a lottery ?

- Is there a link between two computers in a network ?

- What is the shortest path between two cities using a transportation system ?

- How can a list of integers be sorted so that the integers are in increasing order ?

- How many steps are required to do such a sorting ?

- How can it be proved that a sorting algorithm correctly sort a list ?

- How can a circuit that adds two integers be designed ?

- How many valid internet address are there ?

More generally discrete mathematics is used whenever objects are counted, when relationship between finite ( or countable) sets are studied, and when processes involving a finite number of steps are analyzed. A key reason for the growth in the importance of discrete mathematics in that information is stored and manipulated by computing machines in a discrete fashion.

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