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Relations and Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsRelations and Functions1 Mark
Question
Find the number of all one-one functions from set A = {1, 2, 3} to itself.
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Answer

One-one function from {1, 2, 3} to itself is simply a permutation on three symbols 1, 2, 3.
Therefore, a total number of one-one maps from {1, 2, 3} to itself is the same as the total number of permutations on three symbols 1, 2, 3 which is 3! = 6

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