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∑n=148n2+n−1(n+2)!\large \displaystyle \sum_{n=1}^{48} \dfrac{n^2 + n - 1}{(n+2)!} n=1∑48(n+2)!n2+n−1
If the above summation equals to SSS, find 50!(12−S)50!\left(\dfrac{1}{2} - S \right)50!(21−S).
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