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Example 46 - Find number of all one-one functions from {1, 2, 3} - To prove injective/ surjective/ bijective (one-one & onto)

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  1. Chapter 1 Class 12 Relation and Functions
  2. Serial order wise
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Example 46 (Method 1) Find the number of all one-one functions from set A = {1, 2, 3} to itself. Since f is one-one Hence every element 1,2,3 has either of image 1,2,3 and that image is unique Total number of one-one function = 6 Example 46 (Method 2) Find the number of all one-one functions from set A = {1, 2, 3} to itself. Since f is one-one Hence every element 1, 2, 3 has either of image 1, 2, 3 and that image is unique Total number of one-one function = 3 × 2 × 1 = 6

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