AP EAMCET · Maths · Permutation Combination
The least value of \(n\) for which \({ }^{(n-1)} C_2+{ }^{(n-1)} C_3>{ }^n C_2\) is
- A \(7\)
- B \(4\)
- C \(5\)
- D \(6\)
Answer & Solution
Correct Answer
(D) \(6\)
Step-by-step Solution
Detailed explanation
\({ }^{n-1} C_2+{ }^{n-1} C_3>{ }^n C_2\) \({ }^n C_3>{ }^n C_2 \Rightarrow \frac{n !}{3 !(n-3) !}>\frac{n !}{2 !(n-2) !}\) \(\Rightarrow \frac{1}{3} \geq \frac{1}{(n-2)}\)…
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