AP EAMCET · Maths · Permutation Combination
If \({ }^{(n-1)} C_3+{ }^{(n-1)} C_4>{ }^n C_3\), then the minimum value of \(n\) is
- A 5
- B 6
- C 7
- D 8
Answer & Solution
Correct Answer
(D) 8
Step-by-step Solution
Detailed explanation
Given, \({ }^{n-1} C_3+{ }^{n-1} C_4>{ }^n C_3\) \(\begin{array}{lc} \therefore & { }^n C_4>{ }^n C_3 \\ & {\left[\because{ }^n C_r+{ }^n C_{r-1}={ }^{n+1} C_r\right]} \\ \Rightarrow & n-4>3 \\ \Rightarrow & n>7 \\ \therefore & n=8 \end{array}\)
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