AP EAMCET · Maths · Binomial Theorem
If \(N(n)=n \prod_{r=1}^{2023}\left(n^2-r^2\right)(n>2023)\), then \({ }^N C_{N-1}\) when \(n\) \(=2024\) is
- A \((4047)!\)
- B \((4048) !\)
- C \((6023) !\)
- D \((6069) !\)
Answer & Solution
Correct Answer
(A) \((4047)!\)
Step-by-step Solution
Detailed explanation
\(N(n)=n \prod_{r=1}^{2023}\left(n^2-r^2\right)=n \cdot\left[\prod_{r=1}^{2023}(n-r)\right]\left[\prod_{r=1}^{2023}(n+r)\right]\) but when \(\mathrm{n}=2024\) ( given)…
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