Final answer:
The Battle of the Nations in 1813 was won by a coalition that included all of the countries listed: Prussia, England (represented as Britain in the coalition), Austria, and Russia, making the correct answer (c) all of these countries.
Step-by-step explanation:
The Battle of the Nations in 1813 was won by the coalition forces composed of all of these countries: Austria, Prussia, Russia, and Sweden, with substantial support from the United Kingdom in terms of funding and supplies. This battle is also known as the Battle of Leipzig, and it was a decisive defeat for Napoleon and his army, leading to his retreat from Germany and marking a turning point in the Napoleonic Wars.
Considering the options provided in the student's question and the context of the battle, the correct answer would be (c) all of these countries, referring to the powers of the Quadruple Alliance which was composed of Britain, Prussia, Russia, and Austria. This alliance was pivotal in the defeat of Napoleon and the re-establishment of balance in Europe post his regime.