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Posted: 8/31/2004 1:06:14 PM EDT
[Last Edit: 8/31/2004 1:10:25 PM EDT by Delmarksman]
My Daughter came home with a brain teaser today, it goes like this...

1 2 3 4 5 6 7 8 9

How many different ways can you come up with the #17, you can use any combination BUT you can only use the # once in each group (number sentance).

Good luck let's see what you can come up with.

Del
Link Posted: 8/31/2004 1:09:02 PM EDT
[Last Edit: 8/31/2004 1:10:57 PM EDT by EagleArmsHBAR]
Use number one and seven
Link Posted: 8/31/2004 1:10:09 PM EDT
[Last Edit: 8/31/2004 1:11:32 PM EDT by Sierra_Hombre]
1,146,484

1,146,485 ways
Link Posted: 8/31/2004 1:10:52 PM EDT
Link Posted: 8/31/2004 1:17:25 PM EDT
Need more information in the way of rules. What mathematical operations are allowed?
For example, square root of 9 times 3 plus 8 is 17. Are you talking about only using addition?
Link Posted: 8/31/2004 1:18:41 PM EDT
[Last Edit: 8/31/2004 1:24:24 PM EDT by Greenhorn]
1+9+7

2+8+1+6

3+9+5

3+4+­1+7+2

Screw it, too many.

Edited: Here's some good ones!

9.42+7.58

5(2 X 3) -8

The possibilities are endless.
Link Posted: 8/31/2004 1:18:55 PM EDT
[Last Edit: 8/31/2004 1:19:21 PM EDT by EagleArmsHBAR]
he never said add or subtract multiply or divide
so, th eanswer is one
1 2 3 4 5 6 7 8 9
Link Posted: 8/31/2004 1:37:34 PM EDT

Originally Posted By EagleArmsHBAR:
he never said add or subtract multiply or divide
so, th eanswer is one
1 2 3 4 5 6 7 8 9



Yeah, but what fun is coming up with the lowest possible number of solutions?

Nobody has even started using exponents. 3 squared plus 8 is 17. So is 3 cubed minus 9 minus 1. For every simple equation that doesn't already contain the number one you can raise one of the numbers to the power of one and come up with another solution.
Link Posted: 8/31/2004 2:44:48 PM EDT
Addition only sorry.
Link Posted: 8/31/2004 3:29:14 PM EDT
8 + 9 = 17
1 + 7 + 9 = 17
2 + 6 + 9 = 17
3 + 5 + 9 = 17
1 + 2 + 5 + 9 = 17
1 + 3 + 4 + 9 = 17
2 + 7 + 8 = 17
3 + 6 + 8 = 17
1 + 2 + 6 + 8 = 17
4 + 5 + 8 = 17
1 + 3 + 5 + 8 = 17
4 + 6 + 7 = 17
1 + 3 + 6 + 7 = 17
1 + 4 + 5 + 7 = 17
2 + 3 + 5 + 7 = 17
2 + 4 + 5 + 6 = 17
1 + 2 + 3 + 5 + 6 = 17
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