Summing a Factorial Series

Algebra Level 3

1(1!)+2(2!)+3(3!)++7(7!)=? \large 1(1!) + 2(2!) + 3(3!) + \cdots+ 7(7!) =\, ?

Notation:
!! denotes the factorial notation. For example, 8!=1×2×3××88! = 1\times2\times3\times\cdots\times8 .

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