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AMO 2027 Grades 8-9 SET 14 - Self-study Question 15

AMO · AMO 2027 Grades 8-9 SET 14 - Self-study

Question 15

Exercise 7. Nine students, including four girls and five boys are arranged in a row. The teacher wants to arrange them such that no two consecutive students are of the same sex. How many ways can the teacher do that?

**Editorial input convention:** Treat all nine students as distinct and count left-to-right orders separately.