Is there a formula to solve this combinations/permutations problem?
Hello, this is a bit of an interesting problem that I can't get my head around. To help explain the problem, let's compare it to Netflix's service.
Let's say you belong to Mathflix, a monthly subscription service that rents math books. Say you have a plan that allows you to read two books at home at any given time, and to read a maximum of 4 books per month.
Every day a computer runs through the membership tables at Mathflix and tries to decide if any members should be shipped new books.
Is there a formula that can always calculate the correct number of books a person should receive assuming the following constants?
Books-Limit-Per-Month = 4
Books-Limit-At-Home = 2
And the following variables:
I've tried all sorts of combinations and failed. The problem seems a lot simpler than it actually is. I would appreciate any input.