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1235; 1253; 1325; 1352; 1523; 1532; 2135; 2153; 2315; 2351; 2513; 2531; 3125; 3152; 3215; 3251; 3512; 3521; 5123; 5132; 5213; 5231; 5312; 5321.

These are 24 such numbers which have four distinct nonzero digits and add up to 11.

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Q: How many counting numbers have four distinct nonzero digits that have the sum of the four digits is 11?
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