Final answer:
To determine the number of individuals who took horseback riding lessons but did not attend the barn dance, specific survey data is required, which is not provided in the question.
Step-by-step explanation:
To answer how many people took horseback riding lessons but didn't attend the barn dance, we would need additional data aside from the options provided in the question. Since the question does not give the necessary information to deduce the answer specifically, it is not possible to determine how many people fit that criteria based on the available survey data excerpts provided.