JEE Mains · Maths · STD 11 - 7. binomial theoram
The least value of n for which the number of integral terms in the Binomial expansion of \((\sqrt[3]{7}+\sqrt[12]{11})^{\mathrm{n}}\) is 183, is :
- A 2184
- B 2196
- C 2148
- D 2172
Answer & Solution
Correct Answer
(A) 2184
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { General term }={ }^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}\left\{7^{1 / 3}\right\}^{\mathrm{n}-\mathrm{r}}\left(11^{1 / 12}\right)^{\mathrm{r}} \\ & ={ }^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}\{7\}^{\frac{\mathrm{n}-\mathrm{r}}{3}}(11)^{\mathrm{r} / 12}…
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