Discrete Mathematics

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

Problems in this category

The problem asks us to identify which of the given sets represents a null set (empty set). A null se...

Set TheoryNull SetEmpty SetSet NotationSet Elements
2025/3/27

The question asks which of the following statements is a valid conclusion one might reach in a proof...

Proof by InductionSeriesSummationMathematical Induction
2025/3/27

The problem asks us to find the power set of the set $A = \{a, b\}$. The power set of a set is the s...

Set TheoryPower SetSubsets
2025/3/27

The problem asks us to identify which of the given options is not a part of the principle of mathema...

Mathematical InductionProof TechniquesLogic
2025/3/27

The problem asks which of the given options describes two disjoint sets A and B represented as circl...

Set TheoryDisjoint SetsVenn Diagrams
2025/3/27

The problem asks for the formula that represents the cardinality (number of elements) of the power s...

Set TheoryPower SetCardinalityCombinatorics
2025/3/27

The question is about mathematical induction and which type of numbers it applies to.

Mathematical InductionProofsNumber TheoryNatural NumbersSet Theory
2025/3/27

The question asks for the first step in mathematical induction. The answer choices are: a) Induction...

Mathematical InductionProof TechniquesBasis StepInductive Step
2025/3/27

We are given the following information about students in a Faculty of Science: - Total number of stu...

Set TheoryVenn DiagramsInclusion-Exclusion Principle
2025/3/27

A school principal and his wife, along with three other teachers, are to be seated in a row. The pri...

PermutationsCombinatoricsArrangementsConstraints
2025/3/27