Discrete Mathematics
Problems related to graph theory, combinatorics, logic, etc.
Problems in this category
A school principal, his wife, and three other teachers are to be seated in a row. The principal and ...
PermutationsCombinatoricsCounting
2025/3/19
We are asked to find the number of arrangements of the letters in the word MATHEMATICS.
CombinatoricsPermutationsFactorialsCounting
2025/3/19
Let $S = \{1, 2, ..., 6\}$. We want to find the number of functions $F$ that map subsets of $S$ to s...
Set TheoryFunctional EquationsCombinatorics
2025/3/18
Let $S = \{1, 2, ..., 6\}$. We want to find the number of functions $F$ mapping subsets of $S$ to s...
Set TheoryFunctionsCombinatoricsPower SetFunctional Equations
2025/3/18
The first problem is to find the number of ways to arrange the letters in the word "MATHEMATICS". Th...
Permutations with RepetitionsCombinationsCounting Principles
2025/3/18
We are given a Venn diagram representing the number of students studying Spanish, French, and German...
Venn DiagramsSet TheoryCountingCombinatorics
2025/3/17
We need to answer questions related to matching items, computer networks, logic gates, number system...
Modular ArithmeticLogic GatesNumber SystemsBoolean AlgebraTruth TablesHexadecimal to Octal Conversion
2025/3/17
The problem presents several questions related to computer science concepts. We will focus on questi...
Number SystemsBase ConversionOctalLogic GatesBoolean AlgebraNAND Gate
2025/3/17
The problem provides an incomplete Pascal code snippet that aims to display multiples of 5 below 50....
AlgorithmsPascalProgrammingLoopsMultiples
2025/3/17
The first problem asks us to find the value of the variable $Z$ after the execution of the given pse...
AlgorithmsPseudocodeLoopsVariable AssignmentIteration
2025/3/17