Power Set

Q. The power set of $\{0,1,2\}$ is_____.

1. $\{\varphi ,\{1\},\left\{2\right\},\left\{0\right\},\left\{0,1\right\},\left\{0,2\right\},\left\{1,2\right\},\left\{0,1,2\right\}\}$
2. $\{\varphi ,\{1\},\left\{2\right\},\left\{0\right\},\left\{0,1\right\},\left\{0,2\right\},\left\{1,2\right\}\}$
3. $\left\{\{1\right\},\left\{2\right\},\left\{0\right\},\left\{0,1\right\},\left\{0,2\right\},\left\{1,2\right\},\left\{0,1,2\right\}\}$
   
4. $\{\varphi ,\{1\},\left\{0\right\},\left\{0,1\right\},\left\{0,2\right\},\left\{1,2\right\},\left\{0,1,2\right\}\}$

Q. The power set of $\left\{9\right\}$ is________.

1. $\{\varphi ,\{0\},\{9\left\}\right\}$
   
2. $\left\{9\right\}$
   
3. $\left\{\varphi \right\}$
   
4. $\{\varphi ,\{9\left\}\right\}$
   

Q. If a set has $n$ elements, then it has subsets.

1. $n$
2. $2^n$
3. $2^n-1$
4. $2^{n-1}$

Q.

The number of subsets of A = {1, 2, 3, 4} is _____.

1. 8

2. 16

3. 15

4. 7

Q. If A is a nonempty set then P(A) is called as_______
(a) subset of A
(b) power set of A
(c) superset of A
(d) proper set of A

Q. The set without any member is called as ?

1. Finite set
2. Infinite set
3. Empty set
4. Singleton set