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AMO 2027 Grades 8-9 SET 3 - Self-study Question 2

AMO · AMO 2027 Grades 8-9 SET 3 - Self-study

Question 2

A city is divided into four regions. The city council has decided that a new city hall, a new school, and a new movie theatre shall be built. The only condition is that the school and the movie theatre must not be in the same region. How many ways these four buildings be built in the city? (Ignore the time of construction)