Golfers

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?

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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