Zeal Test Series 2019: Set Theory & Algebra - Functions

Question

Let f : A → B be function, where A = {1,2,3,4,5,6} and B = {1,2,3,4,5}.

If f(1) = 4 then how many surjective (onto) functions are possible ?

Comments

can you tell me that how to subscript and superscript ?

I didn't find that func button in this updated version

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check this

 

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Ohk fine :p

earlier it was bit easy because both function are very frequently use so sir make a separate  button for this two func

 btw thanks

Answer 1

related theory https://math.stackexchange.com/questions/334420/number-of-onto-functions

formula derivation is in given link

Comments

@Gurdeep Saini

who just down vote but didn't participate in the discussion, doesn't get this comment as notification

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@Shaik Masthan he/she should give the reason what is wrong in this answer 

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we can't do anything... it's his/her responsibility.... forget about it.. there is No problem with this solution