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2007 Portugal MO
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Part of
2007 Portugal MO
Problems
(1)
necklace with 20 pearls, blue and white
Source: Portugal OPM 2007 p1
5/19/2024
Joao had blue, white and red pearls and with them he made a necklace with
20
20
20
pearls that has as many blue as white pearls. João noticed that, regardless of how he cut the necklace into two parts, both with an even number of pearls, one of the parts would always have more blue pearls than white ones. How many red pearls are in Joao's necklace?
combinatorics