7 There are 10 spaniels, 14 retrievers and 6 poodles at a dog show. 7 dogs are selected to go through to the final.
- How many selections of 7 different dogs can be made if there must be at least 1 spaniel, at least 2 retrievers and at least 3 poodles?
2 spaniels, 2 retrievers and 3 poodles go through to the final. They are placed in a line.
- How many different arrangements of these 7 dogs are there if the spaniels stand together and the retrievers stand together?
- How many different arrangements of these 7 dogs are there if no poodle is next to another poodle?