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How many onto (or surjective) functions are there from an n-element (n ≥ 2) set to a 2-element set?
  • a)
    2n
  • b)
    2n - 1
  • c)
    2n - 2
  • d)
    2 (2n- 2 )
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
How many onto (or surjective) functions are there from an n-element (n...
Let n = 2. There are only 2 onto functions as shown below:


The number of onto functions from a set A with m elements to set B with n elements where n < m is given by
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Most Upvoted Answer
How many onto (or surjective) functions are there from an n-element (n...
There are n! surjective functions from an n-element set to a m-element set.
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