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We had ideas from the Inter School in Zurich, Moorfield Junior School, Higher Bebington Junior School on the Wirral, Yarm Primary School, Cummersdale School in Carlisle as well as from students in Etobicoke, Ontario, Canada. There was quite a range of answers for this problem, from four ways to $740$ ways to put the ten coins into the plum puddings!
Here's what Tom did. He was very systematic, so we know that he has counted all the possibilities and hasn't counted any twice.
I know that each pudding must have at least two coins.