Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Analysis Elementary Set Theory
Given Statements:
P. card \( \left(\prod_{i=1}^n A_i\right)=\prod_{i=1}^n\) card(Ai)
Q. card \( \left(\prod_{i=1}^{\infty} A_i\right)=\prod_{i=1}^{\infty} \) card(Ai)
R. card \(\left(\bigcup_{i=1}^n A_i\right) \leq \sum_{i=1}^n\) card(Ai)
S. card \(\left(\bigcup_{i=1}^{\infty} A_i\right) \geq \sum_{i=1}^{\infty}\) card(Ai)
Then which of the following is not true?
1
P, Q & R are true
2
P, Q & R are true but S is false
3
P & Q are always true but either R or S is false
4
P, Q & S are true
5
Question Not Attempted