Evaluate \(^{n^2 + 1}\)C\(_{n+5}\) if n = 3
A
55
B
45
C
35
D
25
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(^{3^2 + 1}\)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
Source: WAEC / JAMB / NECO Classroom Archive (Record #64373)