Please answer my grammar question?

Question

Which of the following is correct?

After finishing his homework, Bob went outside.

After he finished his homework, Bob went outside.

Answer 1

The first.

Answer 2

first

Answer 3

First sentence

The second has elements of redundancy

Answer 4

Both are totally, completely correct. Without the context of what else was said, there's no way to say which of the two might be the better sentence to use, but as stand-alone sentences, they are both good, grammatical English.