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Digit at the units place of sum of (1...

Digit at the units place of sum of
`(1!)^(2)+(2!)^(2)+(3!)^(2).......+(2008!)^(2)` is

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The unit digit of the expression (1!)^(1!) + (2!)^(2!) + (3!)^(3!) + ……+ (100!)^(100!) :