devise a division
Probability
Level
2
Find the number of ways in which 30 coins of one rupee can be divided between 6 persons such that no one gets less than 4 rupees.
727
627
462
261
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1 solution
To start with, give each of the 6 people 4 rupees. We then have 6 rupees remaining to distribute without any restrictions.
This is now a "stars and bars" calculation. Check out Theorem two in this link: link
With n = 6 and k = 6 we have the solution ( 6 1 1 ) = 4 6 2 .