Which is an example of faulty coordination? running takes discipline, and many people enjoy running. running burns calories, and it strengthen leg muscles. i ran in a marathon last year, and i finished the race. i like to stay in shape, and running me do that.

Running takes discipline, and many people enjoy running.

Explanation:

By combining independent clauses in a sentence, the writer reveals the relationships between the thoughts expressed by the clauses.

The conjunction and in the first option is an example of faulty coordination because you can hadly expect people to enjoy something that requires discipline. Discipline and enjoyment are hardly compatible for most people.

If we replace the coordinating conjunction and with the coordinating conjunction yet, we will have correct coordination and show the correct relationship between the thoughts expressed by the clauses:

Running takes discipline, yet many people enjoy running.  

i guess you are missing the idea that has to be supported, am i right?