no. of function

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lampat

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If \(\displaystyle A = \left\{1,2,3,4,.......,10\right\}\) and \(\displaystyle B = \left\{1,2\right\}\). then find

(i) one to one function from A to B

(ii) many to one function from A to B

(iii) onto function from A to B

(i) into function from A to B
 
lampat said:
If \(\displaystyle A = \left\{1,2,3,4,.......,10\right\}\) and \(\displaystyle B = \left\{1,2\right\}\). then find
(i) one to one function from A to B
(ii) many to one function from A to B
(iii) onto function from A to B
(i) into function from A to B
Click to expand...
There are \(\displaystyle 2^{10}\) functions \(\displaystyle A\to B\).
How many of those are not onto?
Can there be any one-to-one?
 
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