9709 P63 - Jun 2015 - Q7
2782
Rachel has 3 types of ornament. She has 6 different wooden animals, 4 different sea-shells and 3 different pottery ducks.
Rachel displays 10 of the 13 ornaments in a row on her window-sill. Find the number of different arrangements that are possible if
(ii) she has a duck at each end of the row and no ducks anywhere else,
(iii) she has a duck at each end of the row and wooden animals and sea-shells are placed alternately in the positions in between.
