You only get 1 5 set bonus and 1 6 set bonus. That can be any combo;
5 set hope + 6 set hope
5 set champ + 6 set hope
5 set guardian + 6 set hope.

Say your character has 1 ironheart piece, 2 guardian pieces, 3 champion pieces and 1 hope. You will have every set bonus greyed out except for 5 set for champion (only when you mouse over champion items) and 6 set bonus for hope (only when you mouse over that single item).

If you have 6 pieces of hope gear, both will show up when you mouseover an item.