The correct classification of the planets in the solar system is as follows:
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Inner planets (or terrestrial planets) - These include Mercury, Venus, Earth, and Mars. They are rocky and have solid surfaces.
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Outer planets (or gas giants and ice giants) - This group includes Jupiter and Saturn (gas giants) as well as Uranus and Neptune (ice giants).
Therefore, the accurate grouping is: One group is called the inner or terrestrial planets, and the other group is called the outer or giant gas planets.