Truth always wins

Note that no two statements in the list can be true at the same time. Therefore, either 9 statements or 10 statements are false. However, if 10 statements were all false, then the last statement would be true, contradiction. Thus, 9 statements were false. (The 9th statement is the only true one.)

Because all statements are different. It can only be one that is true and nine others are false, which is exactly the true statement.

Because you want most of the statements false( explained after solution with the current method) you start from the highest. If you take 10 it contradicts itself so that cannot be used. Then if you see 9 it works because it says everything is false except it.

You start with the highest because it is easier to deduce otherwise statement 1 works but you might finalize it at that.

You can also develop a rule of thumb with this. if the statements are like this and N is the number of statements. Then N-1 will be the answer.

There are too many cases in this question to solve it by sheer brute force.

Instead, notice that Statement 10 says that 10 statements are false and therefore, since this includes the whole list it cannot be as this would lead to a contradiction.

Since we know that Statement 10 is false, Statement 1 must therefore also be false as Statement 10 is already false and this would mean that other statements, which suggest that more than 1 statement is false, must be true. This would lead to a contradiction.

Now that we know that 2 statements are definitely false, Statement 2 must therefore also be false. We can prove this with the same method with which we proved that Statement 1 is false.

Similarly, we can also use this method to prove that statements 3, 4, 5, 6, 7, and 8 are all false. When we get to Statement 9 however, since 9 statements are definitely false and Statement 9 is the only statement remaining, Statement 9 is true and therefore 9 statements are false.

No two of these statements can be the answer. They would all contradict each other, and therefore 1 is true. Number 9 is true because if 10 was true, then it would be false, and so on. Only 9 is true because contradictions.

If there are 10 statements, the only statement that can be true is the one that considers the total number of statements - 1 (correct statement).

Therefore, with 10 statements 9 must be false.

If you define all statements to be false, even number 9 and 10, the answer is 10. If you define a statement as false, it does not matter that your logic tells you that it is true.

An example is: "This sentence is false" must be defined as false. This is the only way we can solve the problem. This show us that definition beats the logic of a statement.

So there is two solutions, 9 and 10.

All gave different answers. So one of them is telling the truth. it is 9 because there are 9 others that are false. more than one can't be false.

CHOOSE A RANDOM ANSWER BOOM

JK

If all the statement were true, they would contradict each other thus the can't all be true. All of them have to be false except one so there has to be nine false statements, making the 9th one true and all the rest false.

Therefore, 9 statements are false.

The ninth statement must be true if nine are false, and it doesn't lead to any contradictions. Any other number of false statements leads to contradictions, so the answer is 9 .

we know that statement 10 is false and the other statements cannot be true at the same time because each one says a diffrent number but the number of false statements cannot be ten because then statement 10 would be true which we proved cannot be so there are 9 false statements.

- $\boxed{1,2,3,4,5,6,7,8,10}$

Two statements cannot be true at the same time because they will cancell each other out. If all 10 statements were false, the last one would be true cancelling it out. Therefore 9 statements were false ( Only #9 was true).

If one of these are correct, then, 10-1=9 are the false statements given.