3. A hotel has ten rooms along each side of a corridor. An olympiad
• Each question carries 10 marks. However, earlier
team leader wishes to book seven rooms on the corridor so that no
questions tend to be easier. In general you are
two reserved rooms on the same side of the corridor are adjacent. In
advised to concentrate on these problems first.
how many ways can this be done?
• The use of rulers, set squares and compasses
is allowed, but calculators and protractors are
forbidden.
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