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This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.
1. |
Let G be the graph defined as the Hasse diagram for the relation on the set S{1, 2, , 18}. How many edges are there in G? |
A. | 43722 |
B. | 2359296 |
C. | 6487535 |
D. | 131963 |
Answer» C. 6487535 | |
2. |
Suppose P1 is a partially ordered class and a cut of P1 is pair (D, T) of nonempty subclasses of P1 satisfies which of the following properties? |
A. | D T= |
B. | D T=P<sub>1</sub> |
C. | xyz T |
D. | z T and zx D |
Answer» B. D T=P<sub>1</sub> | |
3. |
In a poset P({v, x, y, z}, ) which of the following is the greatest element? |
A. | {v, x, y, z} |
B. | 1 |
C. | |
D. | {vx, xy, yz} |
Answer» B. 1 | |
4. |
In a poset (S, ), if there is no element n S with m<n, then which of the following is true? |
A. | an element n exists for which m=n |
B. | An element m is maximal in the poset |
C. | A set with the same subset of the poset |
D. | An element m is minimal in the poset |
Answer» C. A set with the same subset of the poset | |
5. |
The relation is a partial order if it is ___________ |
A. | reflexive, antisymmetric and transitive |
B. | reflexive, symmetric |
C. | asymmetric, transitive |
D. | irreflexive and transitive |
Answer» B. reflexive, symmetric | |