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IMSO 2006 Mathematics - International Exploration Question 1

IMSO Maths · IMSO 2006 Mathematics - International Exploration

Question 1

For a meeting, equilateral triangular tables are arranged in a row as shown. Only one person can sit at each open edge of a table.

Question illustration

(a) How many people can be seated when 20 tables are assembled in this manner?

(b) What is the minimum number of tables needed to seat 99 people in one row?

(c) What is the minimum number of tables needed to seat 100 people if there are five rows?