Binomial Expansion and Factorials
Discrete Mathematics
Level
1
\[ \begin{eqnarray} A &=& 1\times2\times\cdots \times 100 \\ B &=& 1\times2\times\cdots \times 200 \end{eqnarray} \]
It's obvious that \(B\div A \) is an integer.
Is it also true that \(B\div A \div A\) is still an integer?
by
Pi Han Goh