Question

Fie multimea A={1,2,3,4,5,6,7,...,2016}.Cate SUBMULTIMI CU 2014 ELEMENTE are multimea A?
Dau coroana

Answer 1

$card \ A=2016$

$C_{2016}^{2014}=\frac{2016!}{2014!(2016-2014)!}=\frac{2016!}{2014!*2!}=\frac{1*2*3*...*2016}{1*2*3*...*2014*2}=$$\frac{2015*2016}{2}=1008*2015=2031120 \ este \ nr \ de \ submultimi \ cu \ 2014 \ elemente \ ale \ multimii \ A.$