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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...
Total number of functions is 2n, out of which there will be exactly two functions where all
elements map to exactly one element, so total number of onto functions is 2n-2
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