If all the students in this room shook hands with each other, how many handshakes would there be altogether?
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Topics: Starter  Investigations  Number  Problem Solving
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Can you find a formula for the number of handshakes given the number of students?
Edward and Lucy invite four couples to dinner. Each person shakes hands only with the people that he or she has not met before. Edward then asks his wife and eight guests how many hands they shook, and he receives nine different answers. How many people did Lucy shake hands with?
Bellos, Alex. Can You Solve My Problems?: a Casebook of Ingenious, Perplexing and Totally Satisfying Puzzles. Guardian Books, 2017.
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