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[JEE Advanced 2014] The coefficient of $x^{11}$ in $(1+x^2)^4(1+x^3)^7(1+x^4)^{12}$ is

VAVidaara Admin Asked 1mo ago 1 views 1 answer
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The coefficient of $x^{11}$ in $(1+x^2)^4(1+x^3)^7(1+x^4)^{12}$ is

(a) $1051$
(b) $1106$
(c) $1113$
(d) $1120$

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 1mo ago ▲ 0

Correct answer: (c) $1113$

Summing over $2a+3b+4c=11$: $147+504+462=1113$.

JEE Advanced 2014 · Binomial Theorem — verified solution by the Vidaara Team.

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