Find the number of all onto functions from the set {1, 2, 3, ..., n} to itself.
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what is the value of n???
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Taking set {1,2,3}
Since f is onto,all elements of{1,2,3} have unique pre-image.
Total no. of one-one function=3×2×1=6
eg:-Since f is onto,all elements of {1,2,3} have unique pre-image.
total no. of onto functions=n×n−1×n−2×2×1=n!
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