Discrete Mathematics

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

Problems in this category

From a group of 5 male students and 8 female students who have good performance in writing poems, a ...

CombinatoricsPermutationsCombinationsCounting
2025/5/30

The problem states that there are 5 male students and 8 female students who have good poetry writing...

CombinatoricsCombinationsPermutationsFactorialsCounting Problems
2025/5/30

A restaurant offers meals with the following components: rice/noodle/potatoes, beef/pork/chicken, ve...

CombinatoricsCounting PrinciplesProduct Rule
2025/5/30

We are given the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. We want to form a 4-digit number using th...

CombinatoricsPermutationsCountingNumber TheoryDivisibility Rules
2025/5/28

We are given the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. We want to form a four-digit number using ...

CombinatoricsCountingPermutationsNumber TheoryDivisibility Rules
2025/5/28

We have the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. We want to form a four-digit number with distinct d...

CombinatoricsPermutationsCounting
2025/5/27

The problem states that we have the digits $0, 1, 2, 3, 4, 5, 6, 7, 8, 9$. We want to form four-digi...

CombinatoricsPermutationsCounting ProblemsNumber Theory (Divisibility)
2025/5/27

The problem states that there are 10 students volunteering for community work. The community leader ...

CombinatoricsCombinationsCounting
2025/5/27

We are given two sets $A = \{1, 2, 3\}$ and $B = \{a, b, c, d, e\}$. We need to solve the following ...

Set TheoryFunctionsInjective FunctionsCombinatoricsCounting
2025/5/27

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