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June 2015 p63 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.

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