- #1

- 467

- 7

## Homework Statement

The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are printed on individual cards.

How many ways can you choose three cards so that the total of the three numbers is 15?

## The Attempt at a Solution

The different ways I can see are:

0, 9, 6

0, 8, 7

1, 9, 5

1, 8, 6

1, 5, 9

2, 9, 4

2, 8, 5

2, 7, 6

2, 6, 7

2, 4, 9

3, 8, 4

3, 7, 5

4, 9, 2

4, 8, 3

4, 6, 5

Is 15 different ways the answer?