
To prove one-one & onto (injective, surjective, bijective)
To prove one-one & onto (injective, surjective, bijective)
Last updated at Dec. 16, 2024 by Teachoo
Example 22 (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 22 (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