1 statement 2 is false
2 statement 3 is false
3 statement 4 is false
4 statement 1 is false
four statments are given above. how many of the statements are true?
Incomplete.
To determine how many of the given statements are true, we need to analyze each statement and check if it can be true or false based on the information provided. Let's break it down step by step:
1. "1 statement 2 is false": This statement claims that the second statement is false. If this statement is true, then the second statement must indeed be false.
2. "2 statement 3 is false": This statement claims that the third statement is false. If this statement is true, then the third statement must indeed be false.
3. "3 statement 4 is false": This statement claims that the fourth statement is false. If this statement is true, then the fourth statement must indeed be false.
4. "4 statement 1 is false": This statement claims that the first statement is false. If this statement is true, then the first statement must indeed be false.
Now, let's determine the truth or falsity of each individual statement:
1. If the first statement is false, it contradicts the fourth statement, which states that the first statement is false. Therefore, the first statement cannot be false; it must be true.
2. If the second statement is false, it contradicts the first statement, which claims that the second statement is false. Therefore, the second statement cannot be false; it must be true.
3. If the third statement is false, it contradicts the second statement, which states that the third statement is false. Therefore, the third statement cannot be false; it must be true.
4. If the fourth statement is false, it contradicts the third statement, which claims that the fourth statement is false. Therefore, the fourth statement cannot be false; it must be true.
Based on this analysis, we conclude that all four statements are true.
Therefore, the answer to the question is that all of the given statements (1, 2, 3, and 4) are true.