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MHT CET202016 Oct 2020Morning ShiftMathematicsSets and RelationsActual

If A = x, y, z , B = 1,2 , then the total number of relations from set A to set B are

Options

  1. A64
  2. B16
  3. C32
  4. D8

Correct answer

A. 64

Step-by-step solution

It is given that A= x, y, z and B= 1,2 . A B= (x, 1),(x, 2),(y, 1),(y, 2),(z, 1),(z, 2) Since n(A B)=6 , the number of subsets of A B is 2⁶ . Therefore, the number of relations from A to B is 2⁶ .

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