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SASMO 2020 Grade 8 Question 24

SASMO · SASMO 2020 Grade 8

Question 24

Two-way roads connect towns A, B and C. Between any pair there are at least 3 and at most 10 direct roads. One can travel from A to C directly or via B in 33 different ways, and from B to C directly or via A in 23 different ways. In how many ways can one travel from B to A?

Use the same route convention throughout: a route is direct or passes through the third town exactly once, without revisiting towns.

Answer format: enter one whole number without units; leading zeros are optional. The source answer sheet uses four digits (for example, 7 is shaded as 0007).