$14\mathrm{.}26.$ Consider the following relation:

$\backslash$table$[[$A$,$B$,$C$,$TUPLE#$],[10,b1,c1,1],[10,b2,c2,2],[11,b4,cl,3],[12,b3,c4,4],[13,b1,cl,5],[14,b3,c4,6]]$

a$.$ Given the previous extension $($state$),$ which of the following dependencies may hold in the above relation? If the dependency cannot hold, explain why by specifying the tuples that cause the violation.

i$.AB,$ ii$.BC,,$ iii. $CB,,$ iv$.BA,$ v$.CA$

Exercises

$499$

b$.$ Does the above relation have a potential candidate key? If it does, what is it$?$ If it does not, why not?