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Maria and John have decided that once they live in a house

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Maria and John have decided that once they live in a house, they want
to have a pet. They go to an animal shelter and find several pets that they would love to take home. There are 30 cats, 4 German shepherds, 10 Labrador Retrievers and 22 mixed breed dog. Since they can’t decide, they place all the adoption cards in a container and draw one.

Question: If they decide to purposely choose 2 of the 36 available dogs rather than randomly choosing any 2, how many combinations of 2 dogs are possible?

 
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