How many different ways can you add four positive, odd integers together for a sum of 10? The integers may be used more than once, and the sequence of the integers should not be considered.

three

Explanation

Determine the answer systematically, beginning with the largest possible integer:
7 + 1 + 1 + 1 = 10
5 + 3 + 1 + 1 = 10
3 + 3 + 3 + 1 = 10
As you can see, there are three different ways.

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