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solve/simply 1(1!)+2(2!)+3(3!)+...........+2012(2012!)

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TCS Other Question

f(x^2) = [f(x)^2] = f(f(x)).How many polynomials of degree greater than 2 satisfy the above equation. The perimeter of a equilateral triangle and regular hexagon are equal.Find out the ratio of their areas?
1)3:2
2)2:3
3)1:6
4)6:1