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PrintJunior Mathematical Olympiad
Netherlands counting and probability
Problem
Dotty has drawn a paper with six dots on it, no three of which lie on a line. With a pen, she draws a straight line from a certain dot to another dot. Then, without lifting her pen, she draws a straight line to a dot she has not visited before. She continues like this until she has visited all the dots. Finally, she draws a straight line from the last dot to the first dot. How many figures can Dotty make this way?
Solution
60
Final answer
60
Techniques
Enumeration with symmetry