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The full electron configuration for Mn is 1s2 2s2 2p12 3s2 3p12 3d5 4s2. The full electron configuration for Mn (III) is 1s2 2s2 2p12 3s2 3p12 3d4. The roman numeral 3 on Mn means that it is a plus 3 cation. This means Mn has lost 3 electrons which gives it the plus 3 charge. Due to this you take away 3 electrons from the ground state of a neutral Mn atom. If you look above at the Mn examples you will see the configuration for the Mn cation does not have the 42s and is 3d4. This is a change of 3 electrons. For an anion it works the same way except you would add as many electrons as the value of the negative charge.
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