15 Dec
2011
15 Dec
'11
6:48 a.m.
Considering that x could be 2, we can conclude that k must be at least 45. I don't know whether k be larger than 45 or not. David Cantrell ----- Original Message ----- From: "David Wilson" <davidwwilson@comcast.net> To: "Math Fun" <math-fun@mailman.xmission.com> Sent: Thursday, December 15, 2011 12:48:22 PM Subject: [math-fun] Puzzler I give you an arbitrary positive integer x > 0. You write down x, 2x, 3x, 4x, ..., kx in decimal. How large much k be to guarantee that every digit appears somewhere in your list, regardless of x? _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun