Hello everybody,
Could you show me how to solve this kind of problem:
Let R be the relation on the set {1, 2, 3, 4, 5} containing the ordered pairs (1,1), (1,2), (1,3), (2,3), (2,4), (3, 1), (3,4), (3, 5), (4, 2), (4, 5), (5, 1), (5, 2), and (5,4). Find:
a. $\displaystyle R^2$.
b. $\displaystyle R^3$.
c. $\displaystyle R^4$.
d. $\displaystyle R^5$.
The number of pairs in $\displaystyle R^n$ must small or equals to R or can be any without conditions ? Because I tried to do but the number of pairs in $\displaystyle R^2$ are larger than R
Please help.
Thanks a lot