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Question
a psychologist has constructed the following maze for use in an experiment. the maze is constructed so that a rat must pass through a series of one - way doors. how many different paths are there from start to finish? 10 × different paths start finish maze resources (book)
Step1: Count first segment paths
From start, there are 3 possible paths to the next section.
Step2: Count second segment paths
Each of those paths connects to 3 paths in the middle section.
Step3: Count third segment paths
Each middle path connects to 2 paths to the finish.
Step4: Calculate total paths
Multiply the number of paths in each segment: $3 \times 3 \times 2$
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18 different paths