Another Probability Problem
Probability
Level
pending
I have 2016 identical marbles. I plan to distribute them equally into one or more identical containers. How many ways can this be done if I have an unlimited number of containers?
1008
6552
36
10
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1 solution
2 0 1 6 = 2 5 . 3 2 . 7 , However despite having unlimited no. of containers since we are to distribute it equally the most we can have at a time is 2 0 1 6 , and the number 2 0 1 6 is equally divided by it's divisors only. So no. of divisors ( 5 + 1 ) ( 2 + 1 ) ( 1 + 1 ) = 3 6 is the answer to this problem.