How many different equivalence relations with exactly three different equivalence classes
are there on a set with five elements ?
A. | 10 |
B. | 15 |
C. | 25 |
D. | 30 |
Option: C Explanation : Click on Discuss to view users comments. |
The number of different spanning trees in complete graph, K4 and bipartite graph, K2, 2have ______ and _______ respectively.
A. | 14, 14 |
B. | 16, 14 |
C. | 16, 4 |
D. | 14, 4 |
Option: C Explanation : Click on Discuss to view users comments. |
A. | R1 ∩ R2 is reflexive and R1 ∪ R2 is irreflexive. |
B. | R1 ∩ R2 is irreflexive and R1 ∪ R2 is reflexive. |
C. | Both R1 ∩ R2 and R1 ∪ R2 are reflexive. |
D. | Both R1 ∩ R2 and R1 ∪ R2 are irreflexive. |
Option: C Explanation : Click on Discuss to view users comments. |
A. | 3/4 |
B. | 2/3 |
C. | 1/2 |
D. | 1/3 |
Option: B Explanation : Click on Discuss to view users comments. |