Discrete Mathematics
Problems related to graph theory, combinatorics, logic, etc.
Problems in this category
The problem provides data from a survey of 60 learners about their preferences for football, volleyb...
Set TheoryVenn DiagramsCombinatoricsData Analysis
2025/3/20
The problem asks in how many ways can a school Principal and his wife, along with three other teache...
PermutationsCombinatoricsArrangementsFactorials
2025/3/19
A school principal, his wife, and three other teachers are to be seated in a row. The principal and ...
PermutationsCombinatoricsArrangements
2025/3/19
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