SOLUTION: From an unlimited supply of 14 different books, it is desired to make up parcels containing r books, all different. For what value of r will there be as many packets as possible, a

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Question 1138420: From an unlimited supply of 14 different books, it is desired to make up parcels containing r books, all different. For what value of r will there be as many packets as possible, all with different contents?
I'm not quite sure what this question means!
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

I understand/interpret this problem in this way. 

    You can select "r" books from 14 different books in  C%5B14%5D%5Er ways, where  C%5B14%5D%5Er  is the number 
    of combinations of 14 books taken "r" at a time.


    The question is :  At which value of "r" the number C%5B14%5D%5Er is maximal ?

Or, in other words, 

    at what value of "r" the number of all  r-element  different subsets of the given set of 14 elements is maximal ?