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

• February 20th 2009, 09:32 AM
[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?
• February 20th 2009, 11:35 AM
Soroban
There are: . $_{20}C_5 \;=\;{20\choose5} \;=\;\frac{20!}{5!\,15!} \;=\;15,504$ combinations.