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100 factorial supra 98 factorial

Răspuns :

100!/98! se poate simplifica numaratorul prin 98! si ramane 99*100.
100!/98!=99*100=9900
[tex]\frac{100!}{98!}=\frac{98!\cdot99\cdot100}{98!}\\
\\=\frac{99\cdot100}{1}=\\
\\ =9900[/tex]

[tex]100!=1\cdot2\cdot3...\cdot100[/tex]