Suppose you buy 12 identical donuts and wish to give them to the 5 children you are babysitting. How many different ways can you distribute the donuts if: (a) there are no restrictions
My answer for this question is,
A) Combination with Repetition: (n+r-1,r) = (12+5-1,5) = (16,5)
B) But some people are getting different answers: (n+r-1,r) = (12+5-1,4) = (16,4) using the logic: 00|00|0000|000|0 there need to be 4 dividers to divide into 5 groups.
Please tell me which one is the right answer.