Question

Se poate să se calculeze $C^{0}_{3}$? Mie îmi dă $\frac{6}{0}$

Answer 1

[tex]C^{0}_3=\frac{3!}{0!*(3-0)!}=\frac{6}{1*6}=1\\0!=1\\Demonstratie:\\ n!=1*2*3*...*n=\frac{(n+1)!}{n+1}\\3!=1*2*3=6\\2!=\frac{3!}{2+1}=\frac{6}{3}=2\\ 1!=\frac{2!}{1+1}=\frac{2}{2}=1\\0!=\frac{1!}{0+1}=\frac{1}{1}=1[/tex]