[tex]\begin{gathered} \text{ We have 5 different stiles, }2\text{ lengths and 4 colors, so the total features is 5+2+4=11} \\ \\ \text{ The possible forms is} \\ \frac{11!}{5!\cdot2!\cdot4!}=6930 \\ \\ \text{the different bows possible are 6930 kinds of bows! (we can do the operations using the calculator)} \end{gathered}[/tex]