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2026
There are four types of weights, namely 1 kg, 2 kg, 5 kg and 10 kg. What is the maximum number of different ways one can measure 20 kg, if at least eight but not more than eleven weights of 1 kg are to be used while measuring?

Explanation

To measure 20 kg using 8 to 11 weights of 1 kg, denote the number of 1 kg weights as xx (where xx can be 8, 9, 10, or 11). The remaining weight to achieve 20 kg will then be 20x20 - x. The possible combinations of 2 kg, 5 kg, and 10 kg weights adjusted to match this remainder yield 8 different valid configurations.

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