Three different digits are chosen from among 1 - 9. When arranged in each of the six possible orders, each of the resulting 3-digit numbers is the product of exactly two primes

What are the three digits?

The three digits -- 1, 7, and 8 -- satisfy the conditions for the solution:

178 = ( 2 x  89)
187 = (11 x  17)
718 = ( 2 x 359)
781 = (11 x  71)
817 = (19 x  43)
871 = (13 x  67)

Posted by Dej Mar on 2009-08-15 16:40:41