# Trios

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Q. Three whole numbers, greater then zero can be used to form a trio.

example: (1,2,2) is a trio whose sum is 1+2+2=5

And (2,1,2) is a different trio whose sum is also 5

How many trios can you find with a sum of 5?

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##### Solution Summary

This shows how to find how many trios have a sum of 5.

##### Solution Preview

Since 5 is such a small number, it is easiest just to count all the possibilities.

A trio can't have a 4 or greater, since 4+1+1 = 6 is to ...

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