Which one of the following could be the assignment of volunteers for Friday and Saturday?

Abi on February 18, 2020

Game Setup

Is it possible to get a game setup for this? Thanks!

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shunhe on February 18, 2020

Hi @Abi,

If you’d be interested in getting a game setup for this question, please feel free to contact support! Support related issues can be directed to our support staff by tapping "support" from the left menu or by calling 855.483.7862 ext. 2 Monday-Friday 9am-6pm PT. Hope this helps!

shunhe on 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!