7 Rachel has 3 types of ornament. She has 6 different wooden animals, 4 different sea-shells and 3 different pottery ducks.
- She lets her daughter Cherry choose 5 ornaments to play with. Cherry chooses at least 1 of each type of ornament. How many different selections can Cherry make?
Rachel displays 10 of the 13 ornaments in a row on her window-sill. Find the number of different arrangements that are possible if
- she has a duck at each end of the row and no ducks anywhere else,
- she has a duck at each end of the row and wooden animals and sea-shells are placed alternately in the positions in between.