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RELATIONS AND FUNCTIONS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSRELATIONS AND FUNCTIONS1 Mark
MCQ
If set A has 2 elements and set B has 4 elements then how many relations are possible?
  • A
    32
  • B
    128
  • ✓
    256
  • D
    64
✓

Answer

Correct option: C.
256
  1. 256
Solution:
We know, $\mathrm{A} \times \mathrm{B}$ has $2 \times 4$ i.e. 8 elements.
Number of subsets of $A \times B$ is $2^8$ i.e. 256 .
A relation is a subset of cartesian product so,
number of possible relations are 256 .

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