1. Taeknwondo is an excellent exercise for both the mind and the body.

2. Taeknwondo is an excellent exercise for both the mind and body.

3. Taeknwondo is an excellent exercise for not only the mind but also the body.

4. Taeknwondo is an excellent exercise for not only the mind but also body.
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Which ones are grammatical? Are they all the same? Do we have to put 'the' before 'body' or not?

1 - 3 are fine. 4 has a problem with parallel construction; 3 is far better.