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infinite - you see there's: 5,14,23,41... then when it goes into thing like 123 and 132 etc... it goes on and on

WRONG IT IS NOT INFINITE!

123 does not add up to 5, nor does 132.

The answer is as follows.

5, 14, 23, 32, 41, 113, 122, 131, 212, 221, 311, 1112, 2111, 11111.

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Q: Ben has written a list of different whole numbers. The digits of each number add up to 5. None of the digits is zero. One of Ben's numbers is 23. How many different numbers are there in the list?
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