SOLUTION: Which one of these statements is false? A.Three statements below are true. B.The above statement is true. C.One of the above statements is false. D.The statement below is true.

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Question 1027028: Which one of these statements is false?
A.Three statements below are true.
B.The above statement is true.
C.One of the above statements is false.
D.The statement below is true.
E.This statement is true.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that B is true. Then A is true, and C is false. Because three of the statements {B,C,D,E} are true, we have that D and E are true. This gives a consistent assignment of truth values to the statement.

Assume that B is false. Then A is false. Assuming exactly one of the five statements is false, we have found two false statements here, a contradiction.

Therefore C is false.