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shunheon February 18, 2020
If you're ok with me writing some things out, though, here are some deductions we can make about this game:
We know from rule 1 that no volunteer works every day. There are 9 total slots (3 days and 3 slots per day) that we need to fill with a total of 5 people. Since no one can work every day, four people will work twice, and one person will work once.
We also know that L has to work twice. Why? Because if L only works once, everyone else works twice. But if M works twice, then L has to work twice, because M—> L from rule 2.
We also know that L has to work on Saturday. P isn’t working on Saturday, so 3/4 of LMNQ have to work on Saturday. But if L doesn’t work on Saturday, then M works on Saturday, which meant L was supposed to work on Saturday. So L works on Saturday.
From here on you could use some brute force or you could go through different scenarios of people who were the one day person. For example, if N only appears on one day, then N is only on Friday from rule 3. That means M and L both work twice and appear with each other, so M is also on Saturday. Since P can’t be on Saturday, P is on Thursday and Friday.
Th: P _ _ F: P N _ S: M L _
M and L now both have to go in Thursday since they appear together and it’s the only one left with two slots, so Q fills the last two.
Th: P M L 
F: P N Q S: M L Q
And so you could go on doing this or go straight to the questions. Hope this helps!
