imo class 12 relations and functions

Let A and B be sets having 3 and 4 elements respectively. The number of one-one functions from A to B is:

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Let A and B be sets having 3 and 4 elements respectively. The number of one-one functions from A to B is:

  • A. 12
  • B. 24
  • C. 64
  • D. 81

Answer: B) 24

Explanation: The number of one-one functions from a set of size m to a set of size n (where m ≤ n) is ⁿPₘ. Here it is ⁴P₃ = 4 × 3 × 2 = 24.

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