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  • Can someone explain - Sets, Relations and Functions - JEE Main-3

If  n(A)=5  and n(B)=6. There find number of one one functions nfrom A to B.

  • Option 1)

    105

  • Option 2)

    120

  • Option 3)

    60

  • Option 4)

    80

 

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=5\; ;\; n=6

number of one one functions = \LARGE _{}^{6}\textrm{P}_{5}=6!=120

 

 


Option 1)

105

Option 2)

120

Option 3)

60

Option 4)

80

Posted by

Himanshu

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