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November 19th, 2018, 10:39 AM   #1
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Combination permutation help

You have four predetermined numbers who's order (position in the string) matters. The four predetermined numbers are 20, 30, 40, 15. You want to know how many potential combinations exist when each number can fluctuate down in size by as many as 15 digits.

So you have 16 choices for the first number (5 .. 20 inclusive), and quite independently, you can have 16 choices for the second number (15 .. 30 inclusive), and quite independently, 16 choices for the third and fourth numbers. So you get 16 x 16 x 16 x 16 = 65,736 possible combinations.

Now you want to remove any potential duplicates, triplicates, and quadruplicates from every possible string. How do you do this and what would then be the resulting total number of possible combination?
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