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Evaluate \(^{n^2 + 1}\)C\(_{n+5}\) if n = 3 

Mathematics
JAMB 2022

Evaluate \(^{n^2 + 1}\)C\(_{n+5}\) if n = 3 

  • A. 55
  • B. 45
  • C. 35
  • D. 25
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Correct Answer: Option B
Explanation

\(^{3^2 + 1}\)C\(_{3+5}\)

\(^{9 + 1}\)C\(_{3+5}\) 

\(^{10}\)C\(_{8}\) = \(\frac{10!}{8! 2!}\)

\(\frac{10 * 9 * 8!}{8! 2!}\) = \(\frac{10 * 9}{2}\)

= 45

There is an explanation video available below.


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Explanation Video

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