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To determine the different weights Samantha can get by weighing the objects two at a time, we can find the sums of all possible pairs. The pairs and their corresponding weights are: (1+2), (1+3), (1+4), (1+5), (2+3), (2+4), (2+5), (3+4), (3+5), and (4+5). This results in the sums: 3kg, 4kg, 5kg, 6kg, 5kg, 6kg, 7kg, 7kg, 8kg, and 9kg. The unique weights are 3kg, 4kg, 5kg, 6kg, 7kg, 8kg, and 9kg, totaling 7 different weights.

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2mo ago

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