Among the options below there are 7 different partitions of the set A={0,1,2..13} List them on the right according to the number of equivalence classes that each partition induces.Here,Z={0,1,A-1}
Choose from these collections of sets Z,Z2,Z3ZaZ5 Z6,Z...Z12Z3
Partitions of S by increasing number of classes
{0,1,2,13
{01,28}9,10,13}
{1,2,5}.{6,812}
S={0}.S={3.69}S={1.47.10S={258}
{even positive integers less than 13} {odd positive integers less than 13}.{0,13}
{even positive integers less than 13
{1},{2},{12},{13}.{14}
{odd positive inlegers less than 13}.{0.{13}
even integers less than 13
{013}1,122.11}{3,10{67
{0{1},{2},12}.{13}