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C. A group of people appointed by each state who formally elect the president and vice president

Explanation:

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(1) "If we may collect the sentiments of the people of America, from their own 
most solemn declarations, they hold this truth as self-evident, that all
men are by nature free." 

Nature in this case is used talking about what comes naturally to a person. It's using it like it is their natural response to become free. 

(2) "Some are of such a nature that they cannot be surrendered."

Nature in this case is used to talk about a person's qualities. This is indicated by the words "some are of such." In this case, their nature doesn't allow them to be surrendered, or give in.