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

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- Feb 20th 2009, 08:32 AMzerobladex[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?

- Feb 20th 2009, 10:35 AMSoroban
Hello, zerobladex!

Quote:

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.