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Posted: 8/31/2004 1:06:14 PM EDT
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
[#1]
Use number one and seven
Link Posted: 8/31/2004 1:10:09 PM EDT
[#2]
1,146,484

1,146,485 ways
Link Posted: 8/31/2004 1:10:52 PM EDT
[#3]
Link Posted: 8/31/2004 1:17:25 PM EDT
[#4]
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
[#5]
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
[#6]
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
[#7]

Quoted:
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
[#8]
Addition only sorry.
Link Posted: 8/31/2004 3:29:14 PM EDT
[#9]

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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