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July 22, 2014

July 22, 2014

Posted by **SkaterGirl** on Sunday, December 5, 2010 at 7:26pm.

1 + 1 + 3 + 5 = 10

1 + 1 + 1 + 7 = 10

1 + 3 + 3 + 3 = 10

Here, distinct means that changing the order of the numbers on the left-hand side of an

equation does not count as a new solution. In how many distinct ways can we add eight odd

positive numbers to obtain 20? Justify your response. Hint: be systematic in your approach!

- Math -
**MathMate**, Sunday, December 5, 2010 at 9:49pmPerhaps there is a more elegant way, but the following should work.

Start with smallest to largest numbers:

1+1+1+1+1+1+1+13=20

1+1+1+1+1+1+3+11=20

1+1+1+1+1+1+5+9=20

1+1+1+1+1+1+7+7=20

1+1+1+1+1+3+3+9=20

1+1+1+1+1+3+5+7=20

1+1+1+1+1+5+5+5=20

1+1+1+1+3+....

- Math -
**SkaterGirl**, Thursday, December 9, 2010 at 11:09pmkeep going......

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