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In order to have four overlapping areas we need something like this:
showing $15$ areas.
Or, when moving on to five we need something like this:
Showing $31$ areas.
These are just suggestions and there are other ways of constructing a suitable arrangement.
Three children are going to buy some plants for their birthdays. They will plant them within circular paths. How could they do this?
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
This challenging activity involves finding different ways to distribute fifteen items among four sets, when the sets must include three, four, five and six items.