# Math Help - [SOLVED] Help With Finding the Total Number of Combinations?

1. ## [SOLVED] Help With Finding the Total Number of Combinations?

If there are 7 dogs and 13 cats, what are the maximum number of combinations that are possible when choosing 5 animals?

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: . $_{20}C_5 \;=\;{20\choose5} \;=\;\frac{20!}{5!\,15!} \;=\;15,504$ combinations.