(It is possible to have many relations on the set {0, 1}.)The total number of relations on the set {0, 1} that are asymmetric isQuestion 11Answera.6b.3c.5d.1e.4f.7g.2h.0

A relation R on a set A is said to be asymmetric if for all (a, b) in R, (b, a) is not in R.

The set given is {0, 1}. So, the total number of possible relations is 2^4 = 16. These 16 relations are:

1. {}
2. {(0,0)}
3. {(1,1)}
4. {(0,1)}
5. {(1,0)}
6. {(0,0), (1,1)}
7. {(0,0), (0,1)}
8. {(0,0), (1,0)}
9. {(1,1), (0,1)}
10. {(1,1), (1,0)}
11. {(0,1), (1,0)}
12. {(0,0), (1,1), (0,1)}
13. {(0,0), (1,1), (1,0)}
14. {(0,0), (0,1), (1,0)}
15. {(1,1), (0,1), (1,0)}
16. {(0,0), (1,1), (0,1), (1,0)}

Out of these 16 relations, the asymmetric relations are:

1. {}
2. {(0,1)}
3. {(1,0)}
4. {(0,1), (1,0)}

So, there are 4 asymmetric relations on the set {0, 1}. Therefore, the answer is e.4.