Răspuns:
[tex]C^{100} _{200}=\frac{200!}{100!*100!} =\frac{200*199*198*...*100*99*98*97*96*...*1}{(100*99*98*97*96*..*1)(100*99*98*97*96*..*1)}[/tex]
[tex]C^{100} _{200}=\frac{200*199*198*...*101}{(100*99*98*97*96*..*1)}[/tex]
[tex]C^{100} _{200}=\frac{2*199*2*...2*101}{(50*49*47*..*1)}[/tex]