The words Carefree and untroubled are related and their denotation which choice explains their connotation. Would it be one has a positive and the other a negative connotation or they each have a positive connotation or they each have a negative connotation or they each have a neutral connotation

The words "carefree" and "untroubled" have similar denotations, implying a lack of worry, stress, or concern. Regarding their connotations, "carefree" typically carries a positive connotation, suggesting a sense of joy, freedom, and happiness. On the other hand, "untroubled" generally has a neutral connotation, simply conveying the absence of troubles or problems without emphasizing a specific emotional state. Therefore, the correct choice would be "one has a positive connotation, and the other has a neutral connotation."