[JEE Advanced 2014] the coefficient of x 11 in 1 x 2 4 1 x 3 7
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
· 2d 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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