Middle term in the expansion of ( 1 + 3 x + 3 x 2 + x 3 ) 6 is Options: A . &nbsp 4 t h B . &nbsp 3 r d C . &nbsp 10 t h D . &nbsp None of these

Middle term in the expansion of (1+3x+3x2+x3)6 is

Question -

Middle term in the expansion of $(1 + 3 x + 3 x^{2} + x^{3})^{6}$ is

Options:

A .

4^{t h}

B .

3^{r d}

C .

10^{t h}

D . None of these

Answer: Option C
:
C

$(1 + 3 x + 3 x^{2} + x^{3})^{6}$ = $((1 + x)^{3})^{6}$ = $(1 + x)^{18}$

Hence the middle term is $10^{t h}$ .

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