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Misplaced Homework Thread -- Moved to the Schoolwork forums

**TL;DR Summary:**Eight Exact To Get 49

Please advise if I am wording this problem correctly and what are the solution (is there some equation for combinations )/ Answers:

SET of numbers 1,2,3,4,5,6,7,8,9,10,11,12 months of the year.

Within the exact time frame of 10 years I MUST choose a number of the month each year that when combined with other months (their number placement in the calendar) over those ten years in total add up to 49.

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Constraints:

I must to use exactly eight of the above numbers when added together produce the number 49 over those ten years

Numbers can be used over (repeated) but MUST be eight in total over those ten years.

Questions:

1) How many combinations are there that will equal 49

2) What are those number combinations of eight numbers when added together that equal 49? over those ten years.

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I'm looking for how many combinations there are

Example:

10,7,5,7,7,4,1,8 ----- these eight when added get 49

10,9,8,7,6,5,3,1 also adds up to 49