Number of proper subsets of a set of order three
| A. | 3 |
| B. | 6 |
| C. | 8 |
| D. | 9 |
|
Option: B Explanation : Click on Discuss to view users comments. |
If A be a finite set of size n, then number of elements in the power set of A x A is
| A. | 22^n |
| B. | 2n^2 |
| C. | (2n)2 |
| D. | none of these |
|
Option: B Explanation :
If A is a finite set with |A| = n elements, then the number of powersets of A is 2n and here we have 2 sets of A i.e. A*A i.e. A2 so total elements = n2 So powersets pf A*A = 2n^2.
So answer is (B)
Click on Discuss to view users comments. |
Which of the following set (s) are empty ?
| A. | {x : x = x} |
| B. | {x : x ≠ x} |
| C. | {x : x = x2} |
| D. | {x : x ≠ x2} |
|
Option: B Explanation : Click on Discuss to view users comments. |
