Question 2 :
Let $S=\{2,4,6,8,......20\}$. What is the maximum number of subsets does $S$ have ?

Question 3 :
For any two sets A and B, $A = B$ is equivalent to

Question 4 :
If $A$ and $B$ are subsets of $U$ such that $n(U) = 700, n(A) = 200, n(B) = 300, n$ <br> $\displaystyle \left ( A\cap B \right )$ $= 100$, then find $n\displaystyle \left ( A'\cap B' \right )$

Question 5 :
Consider the following for any three non empty sets A, B and C<br>1 $\displaystyle A-\left ( B\cup C \right )=\left ( A-B \right )\cup \left ( A-c \right )$<br>2 $\displaystyle A-B=A-\left ( A\cap B \right )$<br>3 $\displaystyle A=\left ( A\cap B \right )\cup \left ( A-B \right )$<br>which of the above is/are correct?

Question 6 :
In a group of $15$ women, $7$ have nose studs, $8$ have ear rings and $3$ have neither. How many of these have both nose studs and ear rings?

Question 7 :
While preparing the progress reports of the students, the class teacher found that $70$% of the students passed in Hindi, $80$% passed in English and only $65$% passed in both the subjects. Find out the percentage of students who failed in both the subjects

Question 8 :
The number of subsets of the set $A=\{ { a }_{ 1 },{ a }_{ 2 },.........{ a }_{ n }\} $ which contain even number of elements is

Question 9 :
State whether the following statements are true(T) or false(F).Justify your answer.<br>A collection of some fruits is a set.

Question 10 :
Given $\displaystyle A= \left \{ 1,2,3 \right \}, B= \left \{ 3,4 \right \}, C= \left \{ 4,5,6 \right \}$ find:$\displaystyle A\cup \left ( B\cup C \right )$