Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

De som $\sum_{k=1}^{5}C_{5}^{k}$ is gelijk aan	A. 24
B. 25
C. 31
D. 32
E. 5
F. 75

The sum $\sum_{k=1}^{5}\begin{pmatrix} 5\\ k \end{pmatrix}$ is equal to	A. 24
	B. 25
	C. 31
	D. 32
	E. 5
	F. 75

$https://latex.codecogs.com/png.image?\dpi{110}\\{\color{DarkGreen} 1^{ste}\;manier\;: }\\\sum_{k=1}^{5}C_{5}^{k}=C_{5}^{1}+C_{5}^{2}+C_{5}^{3}+C_{5}^{4}+C_{5}^{5}=5+10+10+5+1=...\\{\color{DarkGreen} 2^{de}\;manier\;: }\\\sum_{k=1}^{5}C_{5}^{k}=\left ( \sum_{k=0}^{5}C_{5}^{k} \right ) -C_{5}^{0}=2^5-1=...$