The product of 722*227 (163,894) contains neither 2 nor 7.
List all the couples (b,c; b>c) such that the product bcc*ccb contains neither b nor c.
Bonus: From the above list select couples, if any, using none of the corresponding digits in the partial products as well.
(In reply to
computer solution with an extension by Charlie)
Indeed, there is no obvious reason for specifying b>c in the puzzle. Why rule out 4 otherwise perfectly good solutions.