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  • Answer please! - Sets, Relations and Functions - JEE Main

If  n(A)=n(B)  and Total functions from A to B are 3125. Then what is the value of n(A)+n(B) ?

  • Option 1)

    8

  • Option 2)

    10

  • Option 3)

    12

  • Option 4)

    20

 

Answers (1)

best_answer

As we learned 

 

Number of function -

f:A\rightarrow B

n\left ( A \right )=m

n\left ( B \right )= n

Total No of function = n^{m}

-

 

 Since  3125=5^{5}

thus n(A)=n(B)=5

Thus n(A)+n(B)=10

 


Option 1)

8

Option 2)

10

Option 3)

12

Option 4)

20

Posted by

Himanshu

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