What Are the Selection Rules for the Zeeman Effect?

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KFC
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I am reading some online article on Zeeman effect
http://math.ucr.edu/home/baez/spin/node10.html
In the article, the author mentions 4 selection rules, I wonder the corresponding transition is allowed by satisfying one of these selection rules or the corresponding line will be allowed only when all rules are satisfied?

Thanks.
 
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