Answer:
There are 2!
Dancing is not only a form of exercise but also a social skill. However, not everyone can sway to a tune.
Dancing is not only a form of exercise but also a social skill; however, not everyone can sway to a tune.
Explanation:
Using correct punctuation can improve clarity in writing. A semicolon separates two independent clauses, which are clauses that could stand on their own as complete sentences.
The sentence "Dancing is not only a form of exercise but also a social skill. However, not everyone can sway to a tune" is correct because the two independent sentences "Dancing is not only a form of exercise but also a social skill" and "However, not everyone can sway to a tune" are separated by a period.
The sentence "Dancing is not only a form of exercise but also a social skill; however, not everyone can sway to a tune" is correct because the two independent sentences "Dancing is not only a form of exercise but also a social skill" and "however, not everyone can sway to a tune" are separated by a semicolon.
The sentence "Dancing is not only a form of exercise but also a social skill, however; not everyone can sway to a tune" is incorrect because the comma after the word "skill" is wrongly placed.
The sentence "Dancing is not only a form of exercise but also a social skill. However not everyone can sway to a tune" is incorrect because a comma is needed after the word "However."
The sentence "Dancing is not only a form of exercise but also a social skill. However; not everyone can sway to a tune" is incorrect because a semicolon instead of a comma is placed after the word "However."