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KCET2019MathematicsFunctions

If ( A= x x N, x 5 , B= x x Z, x²-5 x+6=0 ), then the number of onto functions from ( A ) to ( B ) is

Options

  1. A(1) ( 23 )
  2. B( 32 )
  3. C( 02 )
  4. D( 30 )

Correct answer

D. ( 30 )

Step-by-step solution

(D) A = 1,2,3,4,5 B = 2,3) number of onto functions from a set to a set containing 2 elements is =2^ n -2=2⁵-2=30

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