Maths Olympiad Prep

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Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

There are 12 ducks on Old McBride's farm. Three ducks each lay one egg every day, four ducks each lay one egg every other day and five ducks each lay one egg every three days. How many eggs do these 12 ducks lay in a period of 12 days?

(A) 6060 (B) 7272 (C) 7575 (D) 8080 (E) 9696

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