$14$ holes in it for placing golf clubs. He has $4$ wedges, $6$ irons, $3$ woods and $1$ putter. How many different ways can he arrange the golf clubs in his bag?

Trevor has a golf bag with**Details and Assumptions**

- He uses all his clubs.
- No hole is empty or has $2$ clubs in it.
- All wedges are the same, all woods are the same, and all irons are the same.
- You may use a calculator.