## shivam_bhalla 3 years ago 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?

1. FoolForMath

I am no From.

2. shivam_bhalla

??

3. FoolForMath

4. shivam_bhalla

Sorry. By mistake I wrote the wrong name :(

5. shivam_bhalla

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

6. FoolForMath

The first one.

7. FoolForMath

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

8. shivam_bhalla

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

9. shivam_bhalla

Anybody willing to help??

10. shivam_bhalla

@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???

11. FoolForMath

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

12. shivam_bhalla

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