Coefficient of x−$$4in$$⁡$$32$$−$$3x210$$ is

Correct option is 4none of these

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Coefficient of $x^{- 4} in {(\frac{3}{2} - \frac{3}{x^{2}})}^{10}$ is

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Correct option is D

Suppose x−4 occurs in (r+1)th term.We have,1Tr+1=10Cr3210−r−3x2r=10Cr3210−r(−3)rx−2rThis will contain x4, if −2r=−4⇒r=2∴ Coefficient of x−4=10C23210−2(−3)2=312×528

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Coefficient of x−4in⁡32−3x210 is

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Coefficient of $x^{- 4} in {(\frac{3}{2} - \frac{3}{x^{2}})}^{10}$ is