Neeraj,
You can carry out many activities during the tour, such as trekking, yatching, fishing, and so on.
OR
You can carry out many activities during the tour, such as trekking, yatching, and fishing.
OR
You can carry out many activities during the tour such as trekking, yatching, and fishing.
I would also request you to give the logic behind the answer.
Neeraj,
All 3 of your sentences look grammatical but do not sound very natural. "Carry out" means to execute or complete a task as in
" The crime was carryied out flawlessly with no clues left behind".
If I understand the context, here is what I would say:
There are sport activities you may choose to participate during this trip such as trekking, yachting, and fishing.