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  • I have a doubt, kindly clarify. - Sets, Relations and Functions - JEE Main-6

If n(A)=6\: ;\: n(B)=5. Then find number of one one function from A to B.

  • Option 1)

    6

  • Option 2)

    3

  • Option 3)

    1

  • Option 4)

    0

 

Answers (1)

best_answer

As we learned 

 

Number of One - One function -

If A & B are sets having m & n elements respectively.

Then number of one-one function

\left\{\begin{matrix} =\: ^{n}P_{m}& \left (m\leq n \right )& \\ =\; 0\left (m> n \right )& \end{matrix}\right.

 

-

 

 m=6\: ;\: n=5

one \: one\: functions=0

 


Option 1)

6

Option 2)

3

Option 3)

1

Option 4)

0

Posted by

Himanshu

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