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									3/20/2011                                  NCERT CBSE Math Solutions for Class XI…




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   Relations and Functions (Math)
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   Question 10:

   Find the number of all onto functions from the set {1, 2, 3, … , n) to itself.


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     Onto functions from the set {1, 2, 3, … ,n} to itself is simply a permutation on n symbols 1, 2, …, n.

     Thus, the total number of onto maps from {1, 2, … , n} to itself is the same as the total number of permutations
     on n symbols 1, 2, …, n, which is n.




…meritnation.com/…/gKt6k8Vn6PXD@f…                                                                                            1/1

								
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