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Find the number of all one-one functions...

Find the number of all one-one functions from set `A = {1, 2, 3}`to itself.

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Since f is one-one, thus every element of `{1,2,3}` has either of image `{1,2,3}` an that image is unique.
Total no. of one-one functions = `3! = 3×2×1=6`
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