A set of 5 numbers - Math Central

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Question from Marco, a student:

I need to generate in an Excel or other table all possible combinations for a set of 5 numbers with the following criteria:

1.- Numbers can repeat.
2.- Order does not matter.
3.- Numbers may be from 0-9
4.- The sum of all numbers is equal or less than 31.
5.- The sum of all numbers is equal or greater than 10.
6.- One of the numbers is 2.
7.- One of the numbers is 5.
8.- One of the numbers is 7.

Please Help

Sincerely,

Marco

Marco,

First off you can simplify your problem as follows:

Find two numbers

1.- The numbers, except 9, can repeat.
2.- Order does not matter.
3.- Numbers may be from 0-9
4.- The sum of the 2 numbers is equal or less than 17.

This should make it an easier task for you,

Penn

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