\(C=\left(\dfrac{1}{462}-\dfrac{1}{2}\right)\left(\dfrac{1}{462}-\dfrac{1}{6}\right)...\left(\dfrac{1}{462}-\dfrac{1}{3540}\right)\\ =\left(\dfrac{1}{462}-\dfrac{1}{2}\right)\left(\dfrac{1}{462}-\dfrac{1}{6}\right)...\left(\dfrac{1}{462}-\dfrac{1}{462}\right)...\left(\dfrac{1}{462}-\dfrac{1}{3540}\right)\\ =\left(\dfrac{1}{462}-\dfrac{1}{2}\right)\left(\dfrac{1}{462}-\dfrac{1}{6}\right)...0...\left(\dfrac{1}{462}-\dfrac{1}{3540}\right)\\ =0\)