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99 Percentile Qs Bank for JEE MainMathematicsSets and Relations

Let A = x ,   y ,   z and B = 1 ,   2 . Find the number of relations from A into B .

Options

  1. A64
  2. B6
  3. C32
  4. D16

Correct answer

A. 64

Step-by-step solution

Given : A = x ,   y ,   z and B = 1 ,   2 ⇒ A × B = x ,   y ,   z × 1 ,   2 = x ,   1 ,   x ,   2 ,   y ,   1 ,   y ,   2 ,   z ,   1 ,   z ,   2 Since n A × B = 6 , so the number of all relations from the set A to set B = 2 6 = 64

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