Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

De verhouding $\frac{C_{2004}^{1002}\textrm{}}{C_{2003}^{1001}\textrm{}}$ is gelijk aan	A. 1
	B. 2
	C. 1002
	D. 2003
	E. 2004

[ 6-3817 - op net sinds 8.2.03-(E)-27.10.2023 ]

Translation in E N G L I S H

Wich of the following numbers is equal to the ratio $\frac{\left ( \begin{matrix} 2004\\ 1002 \end{matrix} \right )} {\left ( \begin{matrix} 2003\\ 1001 \end{matrix} \right )}$	A. 1
	B. 2
	C. 1002
	D. 2003
	E. 2004

Oplossing - Solution

$\large {\color{DarkGreen} \frac{C_{2004}^{1002}}{C_{2003}^{1001}}= \frac{2004!}{1002!\cdot 1002!}\cdot \frac{1001!\cdot 1002!}{2003!}=\frac{2004}{1002}=\cdots }$