abcdefg

Algebra Level pending

Find the average value of \( (a−b)^2+(b−c)^2+(c−d)^2+(d−e)^2+(e−f)^2+(f−g)^2 \) over all possible arrangements\( (a,b,c,d,e,f,g) \) of the seven numbers \( 1,2,3,11,12,13,14 \) .

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