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Permuted average (Posted on 2020-09-01) Difficulty: 3 of 5
For each permutation a1, a2, . . . , a10 of the integers 1,2,3,...,10, form the sum |a1 - a2| + |a3 - a4| + |a5 - a6| + |a7 - a8| + |a9 - a10|.

Find the average value of all such sums.

No Solution Yet Submitted by Danish Ahmed Khan    
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Puzzle Answer Comment 4 of 4 |
The required average value is:
                   _
55/3 = 18.3

  Posted by K Sengupta on 2022-04-22 04:52:21
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