1.

If one mapping is selected at random from all the mapping of the set = A{1, 2, 3,…,n) into itself, find the probability that the mapping selected is one to one.

Answer»

The total number of mapping from a set A into itself is  nn 

[∵ there are h’ element in A] 

And the total number of one to one mapping is n 

∴ Required probability of getting one to one mapping = \(\frac{n!}{n^n}\).



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