Question:

The term independent of x in the binomial expansion of \((x+\frac{2}{x^3})^{20}\) is

Updated On: Dec 24, 2024
  • \(\begin{pmatrix} 20 \\ 5 \end{pmatrix}2^{15}\)
  • \(\begin{pmatrix} 20 \\ 15 \end{pmatrix}2^{10}\)
  • \(\begin{pmatrix} 20 \\ 10 \end{pmatrix}2^{5}\)
  • \(\begin{pmatrix} 20 \\ 10 \end{pmatrix}2^{10}\)
  • \(\begin{pmatrix} 20 \\ 5 \end{pmatrix}2^{5}\)
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The Correct Option is

Solution and Explanation

The correct option is (E): \(\begin{pmatrix} 20 \\ 5 \end{pmatrix}2^{5}\)
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