Discrete Mathematics

Problems related to graph theory, combinatorics, logic, etc.

Problems in this category

The problem describes a survey of investors, where we are given the number of investors in stocks, m...

Set TheoryVenn DiagramsInclusion-Exclusion Principle
2025/5/27

We are given the set $S = \{1, 2, 3, 4, 5, 6\}$. We need to find the cardinality (number of elements...

Set TheoryCartesian ProductCardinality
2025/5/27

A class has 40 students. The teacher needs 2 students to solve problems number 2 and number 5 from t...

CombinatoricsCombinationsCounting Methods
2025/5/23

The problem asks to find the total number of 4-digit numbers that can be formed using all the digits...

PermutationsCombinatoricsCounting
2025/5/22

There are 6 men and 5 women. They form pairs to play badminton. How many ways are there to form male...

CombinatoricsCountingPermutations
2025/5/22

The image presents three math problems related to combinatorics. Problem 1: Two distinct dice are th...

CombinatoricsCounting PrinciplesPermutationsCombinationsProbability
2025/5/21

The problem asks to determine how many 3-digit numbers can be formed from the digits 2, 3, 4, 5, 7, ...

CountingCombinatoricsPermutations and Combinations
2025/5/20

The problem states that $P$ and $Q$ are subsets of a universal set. We need to find the value of $(P...

Set TheorySet OperationsUnionIntersectionAbsorption Law
2025/5/12

The problem asks to simplify the set operation $(P \cup Q) \cap Q$, where $P$ and $Q$ are subsets of...

Set TheorySet OperationsUnionIntersectionSet Identities
2025/5/12

The image represents a flowchart for an algorithm that calculates and displays the multiplication ta...

AlgorithmsFlowchartsMultiplication TablesIterationComputational Thinking
2025/5/10