- \(\frac{20 ! \: \cdot \: 7 !}{6 ! \: \cdot \: 21 !}=\frac{207}{621}=\frac13\)
- \(\frac{175 ! \: \cdot \: 56 !}{55 ! \: \cdot \: 176 !}=\frac{17556}{55176}=\frac{7}{12}\)
- \(\frac{1500 ! \: \cdot \: 475 !}{474 ! \: \cdot \: 1501 !}=\frac{1500475}{4741501}=\frac{25}{79}\)
- \(\frac{29600 !\: \cdot \: 9361 !}{9360 ! \: \cdot \: 29601 !}=\frac{296009361}{936029601}=\frac{37}{117}=0,3162393162 \cdots\)