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suppose a set A= { x/x  ∈ N and X< 9 } and set B ={ x/x+5 = 8 and X∈ N }

1) how many one to one funtions  are possible from set B to A

2) how many on to funtions are possible from set A to B

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A= { x/x  ∈ N and X< 9 }              |A| = 8
B ={ x/x+5 = 8 and X∈ N }          |B| = 1


number of element in B = 1
number of element in A = 8

let B = {3}
A = { 1,2,3,4,5,6,7}
One One Functions From B ----> A are : 
1. {(3,1)}
2. {(3,2)}
3. {(3,3)}
4. {(3,4)}

5. {(3,5)}
6. {(3,6)}
7. {(3,8)}

8. {(3,8)}

Onto Function : From A ---- > B 
1. 
{(1,3) (2,3) (3,3) (4,3) (5,3) (6,3) (7,3) (8,3)}

Number of ONE ONE function from B---->A = 8
Number of ONTO function from A--->B = 1

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