Adding single digits 1 to 9, the result is 45 and their product is 362880.

Are there any other 9 single digits with sum 45 and product 362880?

  • $\begingroup$ The only 'other' digit is 0. Clearly no set of 9 digits including 0 will give a product different from 0. If repetitions are allowed, please make that explicit. $\endgroup$
    – MathMax
    Jul 16, 2021 at 20:37
  • $\begingroup$ repetition is allowed, but I consider this being part of the riddle. $\endgroup$
    – ThomasL
    Jul 16, 2021 at 21:27

1 Answer 1



Yes, there are.

We can

replace 3,6,8 with 4,4,9. This will not change the sum or product.


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