Example: Party A, Party B and Party C draw water with thermos bottles, with Party A taking 1, Party B taking 2 and Party C taking 3. There is only one faucet now. How to arrange the order for them to fetch water, and the total time (including waiting time) of the three people is the least?

Answer: A plays B first, and then C last.

Analysis: Because no matter what method is used, the splashing time is the same (6 barrels), and only by making as few people wait as possible can the total time be minimized, so start with the least A, then B, and then C.

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