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In a video game, a player is faced with the task of moving from point A to point B to point C, and then returning from point C to point A through point B without retracing any path. There are 5 paths from point A to point B, and 8 paths from point B to point C. In how many different ways can the player accomplish the task?

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In a video game, a player is faced with the task of moving from point <em>A</em> to point <em>B</em> to point <em>C</em>, and then returning from point <em>C</em> to point <em>A</em> through point <em>B</em> without retracing any path. There are 5 paths from point <em>A</em> to point <em>B</em>, and 8 paths from point <em>B</em> to point <em>C</em>. In how many different ways can the player accomplish the task?






 
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