(A,B,C) is a 'pandigital' set of positive integers where the concatenated A|B|C is comprised of all, and only, the ten decimal digits (0 to 9) with no repeated digits. (In the following, except where the base number has a radix, all integers are in base 10.) How many of these 'pandigital' sets exist for

• A_B = C [A in base B equals C]
• A^B = C [A to the power of B equals C]

Provide a separate value for each specification.

(In reply to Part 2: Trivial (?) solutions by Steve Herman)

A, B, and C are all positive integers from the first sentence in the problem, so those solutions wouldn't fit the problem statement.

Posted by Justin on 2009-12-28 19:33:34