BD-BDMO 2015 Problem 1
BdMO National 2015 Secondary Problem 1.
A crime is committed during the hartal.There are four witnesses.The witnesses are logicians and make the following statement: Witness One said exactly one of the four witnesses is a liar.
Witness Two said exactly two of the four witnesses is a liar.
Witness Three said exactly three of the four witnesses is a liar.
Witness Four said exactly four of the four witnesses is a liar.
Assume that each of the statements is either true or false.How many of the winesses are liars?
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.