5 pens are to be distributed among 4 children randomly. The probabilty that each child get altleast one pen is ??

@FoolForMath there are two formulas, which are:

$$(k-1)C _{n-1} $$

where k-Total no of non-distinguishable objects
n-total no of distinguishable receivers

and

$$(n+k-1)C _{k} $$

Now can you tell me which formula to use in this case and why?

Question

5 pens are to be distributed among 4 children randomly. The probabilty  that each child get altleast one pen is ??

@FoolForMath  there are two formulas, which are:

$$(k-1)C _{n-1}  $$

where k->Total no of non-distinguishable objects
n->total no of distinguishable receivers

and

$$(n+k-1)C _{k}  $$

Now can you tell me which formula to use in this case and why?

anonymous · Answer

I am no From.

anonymous · Answer

??

anonymous · Answer

I have already answered you (in that thread)

anonymous · Answer

Sorry.  By mistake I wrote the wrong name :(

anonymous · Answer

No I am having doubt about which formula to use in which case??

anonymous · Answer

The first one.

anonymous · Answer

In this case. The "why" is explained well in the wike page.

anonymous · Answer

I still don't get the difference between theorem 1 and theorem 2 in Stars and bars combinatorics.  Can you please make it easier for me to differentiate them

anonymous · Answer

Anybody willing to help??

anonymous · Answer

@FoolForMath , sorry for troubling you once again,  but I am still not getting the difference between theorem 1 and theorem 2 in Stars and bars combinatorics.  Can you please make it easier for me to differentiate them ?  Please???

anonymous · Answer

Sorry, right now I can't make things any easier for you.

anonymous · Answer

Ok.  No problem .  Thanks for prompt reply @FoolForMath  I will keep trying it myself :)