Arrange the nine non-zero decimal digits in a certain order
Now evaluate abc*cba+def*fed+ghi*ihg
Call the result R
and the number of distinct digits in it D(R).
Example: for concatenation 125736849 R=1339330
a, What concatenation, if any, results in D(R)=7?
b. For what concatenation(s) the D(R)
Rem: Due to symmetry there will be multiple solutions, please list the lowest one only.
Before the last race, I heard the runners from Nepal, Oman and Pakistan make predictions about the final standings:
"I hope the Nepalese gets bronze, for then I'm certain to get silver."
"The Omani could get gold, but in that case I'd get silver."
"The gold medal will go to the Pakistani or to me."
I didn't know which runner said what, but as I learned later, they were all right. Furthermore, knowing which country won the race allowed me to calculate the final standings, which were... ?