sum from k=1 to 17 of ((-1)^(k+1)*(22 choose k)*((17!/(17-k)!)/(22!/(22-k)!))^5)sum from k=1 to 17 of ((-1)^(k+1)*(22 choose k)*((17!/(17-k)!)/(22!/(22-k)!))^5)

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