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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 4 elements then how many relations are possible?
  • A
    32
  • B
    128
  • C
    256
  • D
    64
✓

Answer

  1. 256

Solution:

We know, A × B has 2 × 4 i.e. 8 elements.

Number of subsets of A × B is 28 i.e. 256.

A relation is a subset of cartesian product so,

number of possible relations are 256.

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