If \( f(x)={ }^{40} C_{1} \cdot x(1-x)^{39}+2 \cdot{ }^{40} C_{2} x^{2}(1-x)^{38}+3{ }^{40} C_{3...

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If \( f(x)={ }^{40} C_{1} \cdot x(1-x)^{39}+2 \cdot{ }^{40} C_{2} x^{2}(1-x)^{38}+3{ }^{40} C_{3} \times \) \( x^{3}(1-x)^{37}+\ldots+40 \cdot{ }^{40} C_{40} x^{40} \), then the value of \( f(3) \) is not divisible by
(A) 5
(B) 8
(C) 6
(D) None of these
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