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6\times 4!\times 5!\times 2!
The factorial of 3 is 6.
6\times 24\times 5!\times 2!
The factorial of 4 is 24.
144\times 5!\times 2!
Multiply 6 and 24 to get 144.
144\times 120\times 2!
The factorial of 5 is 120.
17280\times 2!
Multiply 144 and 120 to get 17280.
17280\times 2
The factorial of 2 is 2.
34560
Multiply 17280 and 2 to get 34560.