Discrete Mathematics

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

Problems in this category

The problem presents a Venn diagram showing the number of learners who like Fanta, Coke, and Sprite....

Venn DiagramsSet TheoryCounting
2025/4/4

The problem presents a Venn diagram showing the number of learners who liked Fanta, Coke, and Sprite...

Set TheoryVenn DiagramsProblem Solving
2025/4/4

The problem provides a Venn diagram showing the number of learners who liked Fanta, Coke, and Sprite...

Venn DiagramsSet TheoryProblem SolvingAlgebra
2025/4/4

The question asks to identify the logical operator that evaluates to TRUE only when both conditions ...

LogicBoolean AlgebraLogical OperatorsAND operator
2025/4/4

The problem requires us to place the numbers 40, 8, and 15 in the Venn diagram. The left circle repr...

Set TheoryVenn DiagramsNumber TheoryDivisibility
2025/4/4

The problem presents a repeating pattern of shapes, each labeled with a number. The pattern is: star...

SequencesPattern RecognitionModular Arithmetic
2025/4/4

The problem is to follow a route from START to STOP on a grid and complete a chart showing the direc...

PathfindingGridsCoordinate SystemsAlgorithms
2025/4/4

Given the universal set $\mu = \{x: 0 \le x \le 6\}$, and sets $A = \{0, 2, 4, 6\}$, $B = \{1, 2, 3,...

Set TheorySet OperationsIntersectionUnionComplement
2025/4/4

The problem asks us to find the intersection of set $A$ and the union of the complement of set $B$ (...

Set TheorySet OperationsComplementUnionIntersection
2025/4/4

We are given a second-order linear homogeneous recurrence relation and asked to find a general formu...

Recurrence RelationsLinear Recurrence RelationsCharacteristic EquationSolving Recurrence Relations
2025/4/3