AP EAMCET · Maths · Binomial Theorem
If \({ }^n C_7={ }^n C_6\), then \({ }^n C_2=\)
- A 858
- B 13
- C 1
- D 78
Answer & Solution
Correct Answer
(D) 78
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Given, }{ }^n C_7={ }^n C_6 \\ & \begin{array}{l} \Rightarrow n=7+6=13\left\{\text { If }{ }^n C_x={ }^n C_y \Rightarrow \text { either } x=y\right. \text { or } \\ x+y=n\} \end{array} \\ & \therefore{ }^n C_2={ }^{13} C_2=\frac{13 \times 12}{2}=13…
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