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RELATIONS AND FUNCTIONS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSRELATIONS AND FUNCTIONS1 Mark
Question
Number of binary operations on the set {a, b} are:
  1. 8
  2. 20
  3. 10
  4. 16
✓

Answer

  1. 16
Solution:
Let the given set be A = {a, b}
n(A) = 2
Total number of binary operations = 2(2 × Number of elements in the set)
= 2(2 × 2)
= 24
= 16
Therefore, the number of binary operations on the set {a, b} are 16.

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