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If for some positive integer $n$, the coefficients of three consecutive terms in the binomial expansion of $(1+x)^{n+5}$ are in the ratio $5:10:14$, then the largest coefficient in this expansion is:
(1) 462 (2) 330 (3) 792 (4) 252
Solving: $r = 4, n = 6$. Largest coefficient in $(1+x)^{11}$ is ${}^{11}C_5 = 462$.
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