A
cottage stands surrounded by an orchard of fifty-five
trees.
Ten of these trees
are cherries, ten are plums, and the remainder apples.
The cherries are
so planted as to form five straight lines, with four cherry trees in
every line.
The plum trees are
also planted so as to form five straight lines with four plum trees in
every line.
Which are the ten
cherry trees and
which are the ten plums?
In order that the
cherries and plums should
have the most favourable aspect, as few as possible (under the
conditions) are planted on the north and east sides of the
orchard.
Of
course in picking out a group of ten trees (cherry or plum, as the case
may be) you ignore all intervening trees.
Four trees
may be in a straight line irrespective of other trees (or the house)
being in between.
See answer
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