A deck of nine cards can be numbered, so that the sum of the numbers on a randomly chosen pair of cards totals to an integer from 2 to 12 with the same frequency as rolling two standard dice. What are the numbers on the nine cards?

(In reply to Query by Nick Williams)

There are 36 combinations of 9 things taken 2 at a time:  There are 9 choices for the first, times 8 choices for the second, but order doesn't matter so divide by 2.

Posted by Charlie on 2004-08-09 10:37:42