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  • Need explanation for: If n(A)= 3 , n(B)= 5 Find the number of onto function from A to B

If n(A)= 3 , n(B)= 5 Find the number  of onto function from A to B

  • Option 1)

    150

  • Option 2)

    120

  • Option 3)

    200

  • Option 4)

    none of these

 

Answers (1)

best_answer

As we have learned

Number of Onto function -

f:A\rightarrow B

Such\: that\: n\left ( A \right )= m

&                    n\left ( B\right )=n

m\geqslant n

Number of onto functions = \sum_{r=1}^{n}\left ( -1 \right )^{n-r}n_{C_{r}}r^{m}

-

 

 For onto function n(A)> n(B) otherwise ; it will always be an inoto function 

there are zero onto function   

 


Option 1)

150

Option 2)

120

Option 3)

200

Option 4)

none of these

Posted by

Himanshu

View full answer

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