204,908 views
37 votes
37 votes
cupid is ordering a new bow for valentine's day. there are 5 styles of bows, 2 lengths, and 4 colors of bows to choose from. how many different bows are possible formula n!/ k!*k2!*k3!.....

User Shevon
by
2.7k points

1 Answer

8 votes
8 votes

\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} \\ (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}

User Navin Kumar
by
2.6k points