Q. Over the set A={1,2,3,4,5} two partitions a and b are defined as a={{1,2,3},{4},{5}} and b={{1},{2,3},{4,5}}.The MEET and JOIN(under refinement relations between partitions ) are respectively.
A) {(1),(2,3),(4),(5)} and {(1,2,3),(4,5)}
B){(1,2,3)(4,5)} and{(1,2),(3),(4,5)}
C){(1,2),(3,4)(5)} and {(1,2),(3,4),(5)}
D){(1,2,3,4,5)} and {(1),(2),(3),(4),(5)}