At a dog show, a Maltese, a Dachshund, a Golden Retriever, a Greyhound, a Weimaraner, a Husky, a Great Dane, and a Cocker Spaniel won first place in their divisions. In how many different orders could these winners be announced?

At a dog show there are 5 dogs competing for Best of Show. In how many orders can the judge pick out and rank the top 2 dogs?

6. At a recent dog show, there were 5 finalists. One of the finalists was awarded "Best in Show" and another finalist was awarded "Honorable Mention." In how many different ways could the two awards be given out?

Suppose there are 5 Dachshunds, 4 Pomeranians, and 6 Golden Retrievers at a veterinarian's office. The vet that owns the practice needs to select 10 dogs out of the group to photograph for a lecture he is giving about pet dental care. How many different ways can the 10 dogs be chosen?

There are 49 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete?

How many possibilities are there for the Winner, 1st runner-up, and 2nd runner-up places in a singing competition with 11contestants if all orders of single ranking are possible?a. 992.00b. 989.00c. 990.00d. 991.00e. None of the Options are correct