How many solutions, in positive integers less than 10, does the equation x + y + z = 20have?

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asked Feb 3, 2023 126k views

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The Busy Wizard · Answer 1 · 2023-02-09T08:46:11+0000

Solution: 36 solutions.

Analysis: As we have a sum of three integers equal to 20 and less than 10, we know the integers have to be between 2 and 9 (1 and 0 don't apply because the sum wouldn't be equal to 20 between three integers.

According to that we would be the next solutions:

How many solutions, in positive integers less than 10, does the equation x + y + z-example-1

How many solutions, in positive integers less than 10, does the equation x + y + z = 20have?

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