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CBSE Class 12-science Answered

How to calculate the no of the following from a set (1,2,3,......n) to itself? 1.one-one function 2.onto function 3.binary operation
Asked by Ajnu C S | 01 May, 2014, 01:47: PM
answered-by-expert Expert Answer
1. The number of one-one functions possible are n!.
 
For first element has n choices and second has n-1 and so on.
 
2. The number of onto functions possible are nn.
 
every element in the co-domain has n choices.
 
3. The number of binary operations possible are (n)^n2
Answered by Avinash Soni | 04 May, 2014, 09:52: AM
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