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

[tex]card \ A=2016[/tex]

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