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This le contains an English version of exercises in the course of Discrete mathematics. Most of the problems were prepared by Michael Kubesa, Tereza Kova rov a, and Petr Kov a r.
Discrete Maths: Exercises and Solutions. Basic Structures: Sets, Functions, Sequences, Sums and Matrices. Sequences, Sums and Matrices . Much of discrete mathematics is devoted to the study of discrete structures, used to represent discrete objects. Many important discrete structures are built using sets, which are collections of objects.
A collection of practice questions with solutions for discrete mathematics topics such as sets, relations, graphs, counting, inclusion-exclusion, generating functions, and recurrence relations. The questions are based on various sources and licensed under Creative Commons Attribution 4.0 International License.
Sample Problems in Discrete Mathematics This handout lists some sample problems that you should be able to solve as a pre-requisite to Design and Analysis of Algorithms.
Learn the basics of discrete mathematics with Wolfram Language and get ready for computer science, software engineering, mathematics and data science. This interactive course covers logic, discrete structures, counting, algorithms, proofs, recurrences and graphs.
For each of the following, try to give two different unlabeled graphs with the given properties, or explain why doing so is impossible. Two different trees with the same number of vertices and the same number of edges. A tree is a connected graph with no cycles. Two different graphs with 8 vertices all of degree 2.
Suppose you wanted to take three different colored chips and put them in your pocket. How many different choices do you have? What if you wanted four different colored chips? How do these problems relate to the previous one? A permutation is a (possible) rearrangement of objects. For example, there are 6 permutations of the letters a, b, c:
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