Discrete mathematics is the study of distinct or unconnected objects.
For example, the integers are a discrete set. On the contrast, the real numbers and continuous functions studied in Calculus are not discrete. Prove that at a party with at least two people, there are at least two people who know the same number of people there. Outline a computer program to find the greatest common divisor of two integers. Given a chart of milages between 50 cities, find a route which visits each city with minimum distance traveled.