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Same Mean and Median (Posted on 2010-08-05) Difficulty: 3 of 5
Find the number of non-decreasing sequences of 75 integers from 1 to 75 which have same mean as the median.

No Solution Yet Submitted by Praneeth    
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Hints/Tips hint Comment 6 of 6 |
if x is the average of some numbers, then sum of 
differences of every number less than x and x is equal
to sum of differences of every number greater than x
and x.

=>
(x38-x1)+(x38-x2)+....+(x38-x37) =
(x75-x38)+(x74-x38)+...+(x39-x38)

if x38 is the mean and median

  Posted by Praneeth on 2010-08-06 19:08:15
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