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Sum of product of binomial coefficients

The 10th term...

Question

The 10th term in the expansion of $(x - 1)^{11}$ (in decreasing powers of x) is

A

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B

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C

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D

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Solution

The correct option is D
$T_{10} = T_{9 + 1} =^{11} C_{9} (x)^{11 - 9} (- 1)^{9} = -^{11} C_{2 x^{2}}$

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