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There are two ways to answer this. The actual answer is an infinite number, because you can theoretically divide the weights into smaller and smaller divisions for ever. In practice, the answer depends on what the smallest division you can weigh is. If it's one ounce divisions, and if you are including the two extreme weights, then there are (30 x 16) + 1 individual weights, which is 481.

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Q: How many possible weights are there between 10 and 40 pounds?
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