Counting

Question

1)In how many ways we can put n distinct balls in k identical bins?

2)In how many ways we can put n distinct balls in k identical bins such that no bin is empty?

Comments

14 is for no restriction.

Here u r restricting that each Bin should contain atleast 1 Ball.

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@Balaji

Starling approx is for only case 2) right?

It definitely have atleast 1 ball

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If atleast 1 ball in each bin means then ur answer is matching. We have to apply Formula 11. S(4,3) = 6.