Given list of 10 statement , 8th statement is "Exactly 8 statements in list are false" . Then what is complement of 8th statement

Question

I'm confused during solving this question means if 8th statement is false then what the 8th statement became ?

does it became

1.Exactly 8 statements in list are true.

or

2.This is not the case that "Exactly 8 statements in list are false" then it means this is case of less than 8 statements are true or more than 8 statements are true but not exactly 8"

Which one is correct ?

Answer 1

The complement of a statement is a statement that is true whenever the original is false, and vice versa

Whenever exactly 8 statements are true, your original statement is true, and whenever any number other than 8 statements are true, your original statement is false.

Thus, the complement of the original statement is your second option, as it is false when the number of true statements = 8 and true otherwise, the exact opposite (or complement) of the original statement