Copyright © University of Cambridge. All rights reserved.
Well done to everyone who engaged themselves in this challenge. Here are just some of the solutions we had emailed to us. Eskdale School sent in two solutions that I'm showing here.
First Andrew,With $3$ buckets, each holding $4$ litres, there are only four solutions.
Second MatthewIf we are only allowed to use four numbers out of five, then we must leave out one number. Once we have used our numbers there is always one left. There are five numbers to pick out of. So there are five possibilities.
James, from St. John French Immersion School in Ontario sent in this good one (and like Jack and Gill that went up the hill he used pails instead of buckets):
Rajeev from Fair Field School sent in some very thorough thoughts and ideas as follows:
He also showed how these can all be found by exploring Pascal's Triangle. Well Done.