Middle term in the expansion of ( 1 + 3 x + 3 x 2 + x 3 ) 6 is Options: A . &nbsp4th B . &nbsp3rd C . &nbsp10th D . &nbspNone 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}

Options:

A . 4th

B . 3rd

C . 10th

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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