Trevor has a golf bag with \(14\) 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?
###### Image credit: Wikipedia Kahmagolf

**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.

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