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Best Answer

There are 19 ways:

1 + 2 + 15

1 + 3 + 14

1 + 4 + 13

1 + 5 + 12

1 + 6 + 11

1 + 7 + 10

1 + 8 + 9

2 + 3 + 13

2 + 4 + 12

2 + 5 + 11

2 + 6 + 10

2 + 7 + 9

3 + 4 + 11

3 + 5 + 10

3 + 6 + 9

3 + 7 + 8

4 + 5 + 9

4 + 6 + 8

5 + 6 + 7

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Q: How many ways are there to write 18 as the sum of three different positive integers.?
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