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IMAS 2022–2023 — Upper Primary — Round 2 Question 13

IMAS · IMAS 2022–2023 — Upper Primary — Round 2

Question 13

In the following map, Andy has to start at any one of the four corners and follow the other segments to the other four circles by following these instructions:
- He passes through each segment at most once.
- Each circle contains a pebble. Andy has to pick up the pebble when he enters a circle. The number in each circle represents the weight of the pebble in it, in g.
- Andy cannot pass through more than one corner.

How many different routes can Andy have to collect exactly 67 g of pebbles?

Question illustration