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AMO 2027 Grades 6-7 SET 17 - Self-study Question 7

AMO · AMO 2027 Grades 6-7 SET 17 - Self-study

Question 7

The diagram shows parts of a city where the lines are roads. Charles walks from point X to point Y along the roads without ‘backtracking’ (i.e. he can only walk downwards or to the right in the diagram below). How many ways can he walk from X to Y?


A. 54

B. 55

C. 56

D. 57

E. None of the above

**Editorial note for this self-study exercise:** Enter the number of routes, rather than an option letter.

Question illustration