If there are 7 dogs and 13 cats, what are the maximum number of combinations that are possible when choosing 5 animals?
Hello, zerobladex!
If there are 7 dogs and 13 cats, what is the maximum number of combinations
that are possible when choosing 5 animals?
We are choosing 5 animals from a group of 20 animals.
There are: .$\displaystyle _{20}C_5 \;=\;{20\choose5} \;=\;\frac{20!}{5!\,15!} \;=\;15,504$ combinations.