Discrete Mathematics
Problems related to graph theory, combinatorics, logic, etc.
Problems in this category
The problem consists of two parts. (i) We are asked to illustrate the statement "All good Literature...
Set TheoryVenn DiagramsLogicSubsetsDeductive Reasoning
2025/4/20
Given the universal set $U = \{1, 2, 3, 4, 5, 6, 7\}$, and sets $A = \{1, 3, 5\}$, $B = \{2, 4, 6\}$...
Set TheorySet OperationsUnionIntersectionComplement
2025/4/20
The problem asks which binary number represents the ASCII value of "H" given that "G" is represented...
Binary NumbersASCIINumber SystemsBinary Addition
2025/4/20
The problem asks how many bits are in a nibble. The options are 1 bit, 2 bits, 3 bits, and 4 bits.
Computer ScienceData RepresentationBitsBytesNibble
2025/4/20
We are given several math problems in the image. Let's solve number 3: $A = (3, 4)$, $B = (1, 2, 3)...
Set TheorySet DifferenceSet Operations
2025/4/19
Given the sets $A = \{1, 2, ..., 16\}$, $B = \{x: 0 < x < 16, x \text{ is an odd integer}\}$, and $C...
Set TheorySet OperationsComplementUnionIntersection
2025/4/19
We are given that $X$ and $Y$ are subsets of a universal set $U$. We need to simplify two expression...
Set TheorySet OperationsIntersectionUnionComplementDe Morgan's LawDistributive Property
2025/4/16
We need to complete the given letter-number series for questions 18, 19, 20, and 21.
SequencesSeriesPattern RecognitionLetter-Number Series
2025/4/16
The problem asks to evaluate the expression $(_{12}C_3) \cdot 7 \cdot (_ {12}C_3)$.
CombinationsCombinatoricsFactorialsEvaluation
2025/4/16
The problem presents four different sequences of numbers and asks for an analysis of their patterns.
SequencesSeriesArithmetic SequencePattern RecognitionMathematical Induction
2025/4/15