(i)[5]
She allows her daughter Cherry to choose 5 ornaments to play with. Cherry must select at least 1 ornament of each type. How many different selections can Cherry make?
(ii)[3]
Rachel places 10 of the 13 ornaments in a row on her window-sill. Find the number of different arrangements that are possible if there is a duck at each end of the row and no ducks anywhere else.
(iii)[3]
Rachel places 10 of the 13 ornaments in a row on her window-sill. Find the number of different arrangements that are possible if there is a duck at each end of the row and wooden animals and sea-shells are arranged alternately in the positions between them.