#reversibility

Question 1: Select all that apply

In the 8–5–3 litre jug puzzle, the state $(a, b, c)$ gives the litres in the 8-, 5- and 3-litre jugs, the start is $(8, 0, 0)$ , and a move pours from one jug into another until the source is empty or the destination is full. Consider the states reachable from the start. Select all that apply.

Every reachable state can be reached from every other reachable state1
Each of the volumes 1, 2, …, 8 litres appears in some jug in some reachable state2
Every move can be undone by a single move3
Some reachable states have no legal move at all4
All 24 triples with $a + b + c = 8$ that fit the jugs are reachable5

Timed test