Skip to content / Đến nội dung
ThichHocToan.com

1973 AMC 12 Question 19

AMC12 · 1973 AMC 12

Question 19

Define $n_a!$ for positive $n$ and $a$ to be $$
\begin{aligned} n_a!={}&n(n-a)(n-2a)\\ &\cdot(n-3a)\cdots(n-ka), \end{aligned}
$$ where $k$ is the greatest integer for which $n\gt ka.$ Then the quotient $$
\frac{72_8!}{18_2!}
$$ is equal to
  1. $4^5$
  2. $4^6$
  3. $4^8$
  4. $4^9$
  5. $4^{12}$