Download App

Relations and Functions — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSRelations and Functions1 Mark
MCQ
If set A has 2 elements and set B has 3 elements then how many subsets does A × B have?
  • A
    6
  • B
    8
  • C
    32
  • D
    64
✓

Answer

  1. 64

Solution:

If set A has m elements and set B has n elements then A × B has m × n elements.

We know, a set has 2r subsets if it has r number of elements.

Here, A × B has 2 × 3 = 6 elements. So, number of subsets of A × B will be 26 i.e. 64.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Relations and Functions→Relations and Functions — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

If general term of an A.P. is 3n then find common difference.
→

If A, B, C are three mutually exclusive and exhaustive events of an experiment such that 3 $\text{P(A)}=2\text{P(B)}=\text{C},$ then P(A) is equal to:

→
If the sum of three terms of GP. is 19 and product is 216 , then the common ratio of the series is:
→
The range of the function $\text{f(x)}=\frac{\text{x}}{|\text{x}|}$ is:
  1. R - {0}
  2. R - {-1, 1}
  3. {-1, 1}
  4. None of these.
→
If ${ }^{n-1} C _3+{ }^{n-1} C _4>{ }^n C _3$ then the value of $x$ is:
→
For all $\text{n}\in\text{N},$ 3 × 52n+1 + 23n+1 is divisible by:
  1. 19
  2. 17
  3. 23
  4. 25
→
If $\text{x}+1\text{ x}=2\cos\frac{\pi}{10},$ then $\text{x}^5+\frac{1}{\text{x}^5}$ is equal to:
→
Eight straight lines are drawn in the plane such that no two lines are parallel and no three lines are concurrent.The number of parts into which these lines divide the plane, is:
→
If the focus of a parabola is (-2, 1) and the directrix has the equation x + y = 3, then its vertex is
  1. $ (0, 3)$
  2. $\Big(−1,\ \frac{1}{2}\Big)$
  3. $(−1, 2)$
  4. $ (2, −1)$
→
A line passes through the point (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is:
  1. $\frac{1}{3}$
  2. $\frac{2}{3}$
  3. 1
  4. $\frac{4}{3}$
→