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Gauge Set

How many permutations does a 31 feeler gauge set have?

Also is there a method to arrive at a specific best fit permutation from the set? An example would help for a small set.
Thank you.
But what if the nearest fit involves 3 to 'n' feelers. Is that then in the realm of an algorithm? Does software exist that can do this for different sets?

31!

The best method I use is to start by seeing what's too big, then what's too small, then pick a value halfway between and continue. If you develop an eye and a feel for it, you can start to guess at what gauges you'd need to use, but that takes experience and time.

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American Flyer 3308 Loco 3139 Winged Tender O Gauge Prewar Passenger Set
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MARX O GAUGE WIND UP SET M 10005 WORKS LOOKS GREAT
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LIONEL BOSTON  MAINE PORTHOLE LIGHTED CABOOSE 6 81021 o gauge train 6 81036 NEW
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LIONEL PENNSYLVANIA BROADWAY LIMITED ADD ON LIGHTED BAGGAGE O GAUGE 6 81462 NEW
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Marx 833 0 gauge Wind Up Engine 6 cars Train Set with Track WORKS
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