For any three non-empty sets A, B, C what is $$(A \cup B) - \left\{(A - B) \cup (B - A) \cup (A \cap B)\right\}$$ equal to?

Let S = {x : x is a positive multiple of 3 less than 100} and P = {x : x is a prime number less than 20}. Then n(S) + n(P) is:

If $$A_n = \left( -\frac{1}{n}, \frac{1}{n} \right), \quad n \in \mathbb{N}$$ (N is the set of positive integers) be a subset of the set of real numbers R, then the set $$\bigcap_{n=1}^{\infty} A_n$$ is​

Which of the following functions is symmetric, but neither reflexive nor transitive?

Which of the following represents an empty set?

The number of commutative binary operation on the set A = {1, 2} is ___________.

Let a binary operation '*' be defined on a set P. The operation will be commutative if ___________.

​If two events $$A$$​ and $$B$$​ such that $$P(A∪B)=\frac{7}{8}$$​ and $$P(A∩B)=\frac{1}{4}$$​ and $$P(\bar{A})=\frac{5}{8}$$​, then $$P(\bar{A}∪\bar{B})=$$​ ? ​

The set of all possible outcomes is known as __________.

Consider the set $$G=(a+b\sqrt2:a,b∈Q$$​, the set of all rational numbers} with respect to binary operation usual addition. Which condition fails for $$G$$​?

Let S = {x : x is a positive multiple of 3 less than 100} and P = {x : x is a prime number less than 20}. Then n(S) + n(P) is: