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If f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3...

If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`

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