Discrete Mathematics
Problems related to graph theory, combinatorics, logic, etc.
Problems in this category
The problem requires us to solve three set theory questions. First, we need to prove two DeMorgan's ...
Set TheoryDeMorgan's LawsSet IdentitiesProofs
2025/4/15
The problem consists of two parts. The first part asks us to simplify the given set expressions usin...
Set TheorySet OperationsDe Morgan's LawSet Builder NotationSet Identities
2025/4/15
Given sets $A = \{0, 2, 4, 6, 8, 10\}$, $B = \{1, 3, 5, 7, 9\}$, $C = \{1, 2, 4, 5, 7, 8\}$, and $D ...
Set TheorySet OperationsUnionIntersectionSet Difference
2025/4/15
We are asked to list the elements of the following sets: (a) {$x: x$ is an integer greater than $-2$...
Set TheorySet OperationsIntegersReal NumbersComplex Numbers
2025/4/15
We are given four sets: $A = \{0, 2, 4, 6, 8, 10\}$ $B = \{1, 3, 5, 7, 9\}$ $C = \{1, 2, 4, 5, 7, 8\...
Set TheorySet OperationsUnionIntersectionSet Difference
2025/4/15
The problem asks us to list the elements of four sets defined by different conditions. (a) The set o...
Set TheorySet OperationsIntegersFunctions
2025/4/15
The problem consists of several questions related to set theory. These include listing elements of s...
Set TheorySet OperationsSet Builder NotationDe Morgan's LawVenn DiagramsSet Identities
2025/4/15
The problem consists of several parts related to set theory: listing elements of sets, finding set o...
Set TheorySet OperationsSet NotationDe Morgan's LawIntersectionUnionSet Difference
2025/4/15
The problem is to fill in the blanks in the given flowchart to create a program that counts the numb...
AlgorithmsFlowchartsCountingEven NumbersIteration
2025/4/13
The problem asks us to analyze a given logic circuit with inputs $A$ and $B$. (i) We need to write ...
Logic CircuitsBoolean AlgebraLogic GatesTruth TablesDeMorgan's Law
2025/4/13