Ques. -8

Probability Level 3

Total number of functions f : { 1 , 2 , 3 , 4 , 5 } → { 1 , 2 , 3 , 4 , 5 } f:\{1,2,3,4,5\} \to \{1,2,3,4,5 \} that are onto and f ( i ) ≠ i f(i) \neq i is equal to :

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16 None of the given values 9 44

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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1 solution

Mahimn Bhatt
Feb 24, 2015

Number of onto functions=No of ways of de-arranging the number in their respective boxes.

Apply dearrangement formula with n=5, to get the number of onto functions as 44.

Sandeep Bhardwaj - You are doing a great work by providing questions. Thanks..!

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