Give a combinatorial proof the following statement 1(n−0) + 2(n−1) + 3(n−2) + 4(n−3) +···+ (n−1)2 + (n−0)1 =(n+ 2/3) Hint: on this one, you might consider thinking about subsets of the set{1,2,3,4, . . . , n−1, n, n+1, n+2}; hint 2: in each possible subset, pick the middle number

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