This isn't a SAS question, it's a statistics question. SAS is simply a program for applying statistical knowledge, you still need to understand the statistical methodology.
If you have a variable that can be expressed as a linear combination of other variables, it is not independent. So if you have 0/1 for every day, then you have overspecified the model and need to remove one of the day variables.
A more detailed write up:
http://stats.idre.ucla.edu/other/mult-pkg/faq/general/faqwhat-is-dummy-coding/
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