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The coefficient of $x^{- 10} in {(x^{2} - \frac{1}{x^{3}})}^{10}$ , is

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Correct option is B

Let Tr+1 be the (r+1)th term in the expansion of x2−1x310Then, Tr+1=10Crx20−5r(−1)rThis will contain x−10, if 20−5r=−10⇒r=6∴ Coefficient of x−10=10C6(−1)6=10C6=210

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The coefficient of x−10in⁡x2−1x310, is

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The coefficient of $x^{- 10} in {(x^{2} - \frac{1}{x^{3}})}^{10}$ , is