Five students are seated in a circle. each student has either a red disc or a green disc painted on
her forehead. each student can see the other four discs, but not her own. if a student is wearing a green disc, any state she makes is true; if she is wearing a red disc, any statement she makes is
false.
student 1 says: i see 3 green and 1 red discs
student 2 says: i see 4 red discs
student 3 says: i see 1 green and 3 red discs
students 4 say: it is raining outside
student 5 says: i see 4 green discs
which students have green discs and which students have red discs?

Students 3 and 4 have green discs.  Students 1, 2, and 5 have red discs.

Step-by-step explanation:

If Student 1 is telling the truth, Students 2 and 3 must be lying.  If that were true, Student 1 would see at least 2 red discs, not 1.  So Student 1 is lying, and therefore has a red disc.

Therefore, Student 5 is also lying, and must also have a red disc.

If Student 2 is telling the truth, the other four students must be lying.  That means Student 2 would have a green disc, and the other four would have red discs.  But if that were true, then Student 3 would be telling the truth.  Therefore, Student 2 is lying.

So far, we know Students 1, 2, and 5 are lying.  If Student 3 is telling the truth, then she and Student 4 each have a green disc.  If Student 3 is lying, then all five students would have red discs, which would mean Student 2 was telling the truth.

Therefore, Students 3 and 4 have green discs.  Students 1, 2, and 5 have red discs.

i use my brain for prombles like this maybe you could try it

step-by-step explanation:

what is the question?

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