# How many onto or surjective functions are there from

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11. How many onto (or Surjective) functions are there from an n-element ( 2) n set to a 2-element set?
Tutorial 4 (Function) Discrete Mathematics 3 12. Let S denote the set of all functions 4 :{0,1} {0,1} f . Denote by N the number of functions from S to the set {0,1} . The value of 2 2 log log N is ______. 13. Let X and Y be finite sets and : f X Y be a function. Which one of the following statements is TRUE? A).For any subsets A and B of X, | ( )| | ( )| | ( )| f A B f A f B B).For any subsets A and B of X, ( ) ( ) ( ) f A B f A f B C).For any subsets A and B of X, | ( )| min{| ( )|,| ( )|} f A B f A f B D).For any subsets S and T of Y, 1 1 1 ( ) ( ) ( ) f S T f S f T
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• Spring '15
• Inverse function, 2m, Surjection

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