TESTfunda Puzzle of the Week 15-Mar-13

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Testfunda
15-Mar-13
Puzzle of Week
Puzzle # 252 -"Tee town"
14-Mar-13
Tee Town has a strange tradition. Everyone in the town wears a t-shirt of one of the three colours: Blue, Red and Yellow. Whenever two people wearing different coloured t-shirts meet they both change to the t-shirt of the third colour. They do not change the colour of their t-shirt in any other condition.
At some point of time you observe the following configuration:
Number of people in Blue t-shirts is 23 
Number of people in Red t-shirts is 25
Number of people in Yellow t-shirts is 21
Is it possible to reach a situation where everyone is wearing the same coloured t-shirt? Why or why not?
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If you have ideas on how to solve it, or would like to discuss it with other users, we recommend that you put your thoughts in the comments section.
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