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AMC 8 2019 – Stick and Dot Method

Try this problem from AMC 8 2019 Problem 25. It involved Bijiection Principle from combinatorics, in particular the stick and bar method.

Understand the problem

Alice has 24 apples. In how many ways can she share them with Becky and Chris so that each of the three people has at least two apples?

Source of the problem
American Mathematical Contest 2019, AMC 8 Problem 25

Topic
Combinatorics 

Difficulty Level

7/10

Suggested Book
Challenges and Thrills in Pre College Mathematics Excursion Of Mathematics 

Competency map leading to the problem

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By Dr. Ashani Dasgupta

Ph.D. in Mathematics, University of Wisconsin, Milwaukee, United States.

Research Interest: Geometric Group Theory, Relatively Hyperbolic Groups.

Founder, Cheenta

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