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Question

Mathematics Question on Binomial theorem

The term independent of x in the binomial expansion of (x+2x3)20(x+\frac{2}{x^3})^{20} is

A

(20 5)215\begin{pmatrix} 20 \\\ 5 \end{pmatrix}2^{15}

B

(20 15)210\begin{pmatrix} 20 \\\ 15 \end{pmatrix}2^{10}

C

(20 10)25\begin{pmatrix} 20 \\\ 10 \end{pmatrix}2^{5}

D

(20 10)210\begin{pmatrix} 20 \\\ 10 \end{pmatrix}2^{10}

E

(20 5)25\begin{pmatrix} 20 \\\ 5 \end{pmatrix}2^{5}

Answer

(20 5)25\begin{pmatrix} 20 \\\ 5 \end{pmatrix}2^{5}

Explanation

Solution

The correct option is (E): (20 5)25\begin{pmatrix} 20 \\\ 5 \end{pmatrix}2^{5}