imo class 12 relations and functions

If set A has 4 elements and set B has 2 elements, the number of onto functions from A to B is:

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If set A has 4 elements and set B has 2 elements, the number of onto functions from A to B is:

  • A. 14
  • B. 16
  • C. 12
  • D. 8

Answer: A) 14

Explanation: Total functions from A to B is 2⁴ = 16. There are 2 functions that map all elements to exactly one element in B. Thus, onto functions = 16 − 2 = 14.

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