Discrete Mathematics and Combinatorics

Elementary Probability Theory Made Easy for Discrete Mathematics Exam Explanation & Notes Challenge Exam Questions Welcome, my dear students! Today we are going to learn about Elementary Probability Theory. I know many of you feel worried when you hear the word “probability,” but I promise you, if you follow my steps, it will become one […]

Elements of Graph Theory Made Easy for Discrete Mathematics Exam Explanation & Notes Challenge Exam Questions Welcome, my dear students! Today we are going to learn a very beautiful and visual topic in Discrete Mathematics — Elements of Graph Theory. I know “graph” might make you think of bar charts or pie charts, but in

Recurrence Relations Made Easy for Discrete Mathematics Exam Explanation & Notes Challenge Exam Questions Hello there, my dear students! Today we are going to learn a very important topic for your Discrete Mathematics exam — Recurrence Relations. I know many of you feel nervous when you see this topic, but I promise you, by the

Explanation Revision Exam Questions Introduction: When Simple Addition Fails My dear student, let me start with a simple question. Suppose 30 students in a class take Mathematics and 25 students take Biology. Can we say there are 30 + 25 = 55 students in total? The answer is: Not necessarily! What if some students take

Explanation Revision Exam Questions Introduction: What is Probability? My dear student, let me ask you a simple question before we begin. If you flip a fair coin, what is the chance that it lands on heads? You probably said “half” or “50%.” You are absolutely right! Without knowing it, you just applied the concept of

Explanation Revision Exam Questions Introduction: Why Do We Need the Binomial Theorem? My dear student, let me start by asking you a question. Have you ever tried to expand (x + y)⁵ by multiplying (x + y) by itself five times? If you tried, you know it takes a long time and it is very

Explanation Revision Challenge Exam Questions What Are Permutations and Combinations? Welcome back, my student! In the previous lesson, you learned the two basic counting principles — the Addition Principle and the Multiplication Principle. Now, we will use those principles to solve a very common type of problem: selecting and arranging objects. Here is the key

Explanation Revision Exam Questions What is Counting in Mathematics? My dear student, welcome to one of the most important topics in Discrete Mathematics! Counting is not just about saying 1, 2, 3… No! In mathematics, counting means finding how many ways something can happen. Can you imagine how many possible passwords exist for your email?