Question: (10) If we list all permutations for n = 4 as below. (1,2,3,4) (1,2,4,3) (1,3,2.4) (1,3,4,2) (4,3,2,1) What can be said about how our sums

 (10) If we list all permutations for n = 4 as

(10) If we list all permutations for n = 4 as below. (1,2,3,4) (1,2,4,3) (1,3,2.4) (1,3,4,2) (4,3,2,1) What can be said about how our sums from (8) and (9) compare. Think about this small collection of permutations for n = 4 first. (1,2,3,4) 1+2 3 + 4 (1,2,4,3) 1+ 24 + 3 (1,3,2,4) 1 + 32 + 4 (1,3,4,2) +1+34 + 2 (4.3.2.1) 4+ 32 + 1 Once you review the details for n = 4, see if you can make a more general statement about how the sum of a left hand half and right hand half compare when we consider all permutations for any given n. See below for a listing of how we can interpret the more general case. Pi + P2 + ... + P P9+1 + PA+2+ ... + Pn

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