Cool Multiplications

Level pending

\(A = 1^2 \times 2^2 \times 3^2\times 4^2\times 5^2\times 6^2\times 7^2\times 8^2\times 9^2\times 10^2\)

\(B = 1! \times 2! \times 3!\times 4!\times 5!\times 6!\times 7!\times 8!\times 9!\times 10!\)

\(C = A\times B\)

The last three digits of \(C\) are \(a, b, c\) respectively

What is \(a\times b\times c\)?

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