Find the number of non-decreasing sequences of 75 integers from 1 to 75 which have same mean as the median.

If I understand the problem correctly, there are many such sequences, for example:
{1,1,1,1,1,.................,1,1,1,1}, MEAN=1, MEDIAN=1;
{2,2,2,2,2,.................,2,2,2,2}, MEAN=2, MEDIAN=2;
....
{75,75,75,.................,75,75,75}, MEAN=75, MEDIAN=75;
and
{1 (37x),37,37,39,75,75,.....,75}, MEAN=37, MEDIAN=37;
{1 (37x),37,38,38,75,75,.....,75}, MEAN=37, MEDIAN=37;
{1 (37x),37,38,39,74,75,.....,75}, MEAN=37, MEDIAN=37;
etc.,

Did I interpret the problem incorrectly?

Posted by Dej Mar on 2010-08-06 09:14:03