To determine the correct option from the provided statements, we need to understand the classification of the elements based on their properties as well as their uses.
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Rare-earth elements: These typically refer to a group of 17 elements comprising the 15 lanthanides plus scandium and yttrium. They are generally metals.
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Metals vs. Nonmetals:
- Metals are typically conductive, malleable, and ductile.
- Nonmetals generally lack these properties and can be poor conductors of electricity.
If we analyze the options:
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A. This option can only be true if all elements listed are rare-earths, which is unlikely unless stated otherwise.
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B. This option suggests that the first and third are metals while the second is a nonmetal. This is plausible if the elements fit these classifications.
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C. Similar to B, but it states that the first and third are both rare-earths, which would mean that they are metals, while the second is a nonmetal.
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D. Claims that all three elements are nonmetals, which is less likely if at least one of the mentioned is a rare-earth element (that's typically metal).
To definitively choose, we would need the specific information about the physical properties (like density, conductivity) and uses of the three elements. Without access to the table displaying these properties, it would be a guess.
In absence of the specific table data, if we assume typical trends:
- If at least one of the elements is identified as a rare-earth, option C is likely.
- If only two are recognized as metals and one as a nonmetal, then option B seems valid.
You may need to refer back to the actual properties and uses in the table to select the best answer from the given options. If the majority accurately represent metals and one nonmetal, option B might more commonly occur. If the elements include two rare-earths, then option C is likely to be true.