Combinations with 3 Jugs closed

Question

You are given 3 jugs A,B and C of capacities 8, 5 and 3 liters, respectively. A is filled and B and C are empty. Total amount of water is 8 liters. How many different combinations are possible with at least one of the jug being empty or at-least one of them being full. For example $(8,0,0)$ , $(4,4,0)$ , $(5,3,0)$

Comments

no actually this is a subquestion of graph theory question i just wanted to ask if there is any other easier way to find combinations. Water can be transferred from one jug to another cannot be spilled. The main aim of the main question is to divide the water into 2 equal parts.

$(8,0,0)$ $\leftarrow initial$
$(3,5,0)$
$(3,2,3)$
$(6,2,0)$
$(6,0,2)$
$(1,5,2)$
$(1,4,3)$
$(4,4,0)$ $\leftarrow final$

all these combinations involve either one of the 3 jugs filled fully or one of the 3 jugs empty or both, which helps in solving the question

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yea, that shold be

then example is misleading

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oops i'm sorry