Discrete Mathematics
Problems related to graph theory, combinatorics, logic, etc.
Problems in this category
The problem states that a teacher wants to divide 15 students into 3 equal groups. The question asks...
CombinatoricsCombinationsCounting ProblemsGroup Formation
2025/6/10
We are given a truth table with columns for the propositions P, Q, and R. We need to complete the ta...
LogicTruth TablesPropositional Logic
2025/6/8
Given the universal set $U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$ and the sets $A = \{1, 2, 3, 4, 5\}$...
Set TheorySet OperationsUnionIntersectionSet DifferenceCartesian Product
2025/6/8
The problem requires completing a truth table for the logical expression $(P \land Q) \rightarrow (Q...
LogicTruth TablesPropositional LogicLogical Operators
2025/6/7
We are given a recursive function defined by $a_n = 2a_{n-1}$ with $a_0 = 1$. We need to find the va...
Recursive SequencesSequences and Series
2025/6/7
The problem asks us to construct a truth table for the expression $ [(M \rightarrow J) \land (J \rig...
LogicTruth TablePropositional LogicTautology
2025/6/7
Given the statement "If $x^2 = 4$, then $x = 2$", we need to find the converse, inverse, and contrap...
LogicConditional StatementsConverseInverseContrapositiveTruth Values
2025/6/7
The problem asks to find the two's complement representation of the numbers 56 and -56 using 8 bits.
Computer ScienceNumber RepresentationBinary NumbersTwo's Complement
2025/6/7
The problem asks us to find the two's complement representation of the number 56 using 8 bits.
Number RepresentationBinary RepresentationTwo's ComplementComputer Arithmetic
2025/6/7
The problem asks to represent the numbers 26 and -34 in binary using 8 bits, where the most signific...
Binary RepresentationTwo's ComplementComputer ScienceBitwise Operations
2025/6/7