To determine which pair of elements has atoms with the same number of valence electrons, we need to look at their positions in the periodic table.
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Indium (In): Atomic number 49, located in group 13. It has 3 valence electrons.
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Lead (Pb): Atomic number 82, located in group 14. It has 4 valence electrons.
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Potassium (K): Atomic number 19, located in group 1. It has 1 valence electron.
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Bromine (Br): Atomic number 35, located in group 17. It has 7 valence electrons.
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Astatine (At): Atomic number 85, located in group 17. It has 7 valence electrons.
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Radon (Rn): Atomic number 86, located in group 18. It has 8 valence electrons.
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Silicon (Si): Atomic number 14, located in group 14. It has 4 valence electrons.
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Germanium (Ge): Atomic number 32, located in group 14. It has 4 valence electrons.
From this analysis, we see that the elements silicon (Si) and germanium (Ge) both have 4 valence electrons. Therefore, the correct response is:
silicon (Si) and germanium (Ge).