AP EAMCET · Maths · Binomial Theorem
If \(A=\left\{\left(\begin{array}{lll}a_1 & b_1 & c_1 \\ a_2 & b_2 & c_2 \\ a_3 & b_3 & c_3\end{array}\right): a_i, b_i, c_i,(i=1,2,3)\right.\) are the \(\left.\begin{array}{l}\text { binomial coefficients in the expansion of }(1+\mathrm{x})^{11} \\ \text { then the number of elements in set } \mathrm{A} \text { is }\end{array}\right\}\),
- A \(9^9\)
- B \(6^9\)
- C \(11^9\)
- D \(12^9\)
Answer & Solution
Correct Answer
(B) \(6^9\)
Step-by-step Solution
Detailed explanation
\(\because\left(1+\mathrm{x}^{11}\right)={ }^{11} \mathrm{C}_0 \mathrm{x}^0+{ }^{11} \mathrm{C}_1 \mathrm{x}^1+{ }^{11} \mathrm{C}_2 \mathrm{x}^2+{ }^{11} \mathrm{C}_3 \mathrm{x}^3\)…
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