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How many ways to change a dollar

 
 
Reply Wed 7 Apr, 2004 01:45 pm
It's a pretty old problem, but still interesting.
How many ways are there to make a dollar out of coins? Includes pennies, nickels, dimes, quarters, half dollars.
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Type: Discussion • Score: 1 • Views: 2,190 • Replies: 9
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kev
 
  1  
Reply Wed 7 Apr, 2004 03:58 pm
Apparently there are 294


http://teacher.scholastic.com/products/instructor/pocketful.htm
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Exception
 
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Reply Wed 7 Apr, 2004 06:57 pm
....dang it.
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Adrian
 
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Reply Wed 7 Apr, 2004 07:09 pm
294 is tutu many.
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Tryagain
 
  1  
Reply Thu 8 Apr, 2004 02:13 pm
Adrian wrote, "294 is tutu many."

The best tutus . . . Although we are most well-known for our beautiful professional-quality custom performance tutus, Adrian also designs and creates a very wide array of other ballet and dance costumes and accessories, for women and men, for all age groups, for professional, regional, and civic dance companies.

Nuff said. :wink:
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maddog543
 
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Reply Sat 8 Apr, 2006 08:04 am
how many ways to change a dollar
well, it just so happens there are 293 ways and belive me that is alot but if not using these "half dollars" which i rarely see people using there would be 242 ways using penies, nickles, dimes and quarters. If you dont belive me you can go through 8 pages i think of work. I posted this up so people can take the lazy way out.
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whimsical
 
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Reply Sat 8 Apr, 2006 11:30 am
Well try this: How many ways to make change for a Euro.

50c, 20c, 10c, 5c, 2c, 1c


Whim
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markr
 
  1  
Reply Sat 8 Apr, 2006 12:18 pm
Dollar: 292
Euro: 4562
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whimsical
 
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Reply Sat 8 Apr, 2006 04:07 pm
Euro: 4562 Really mark? I didn't know the answer just thought up the question. It an unbelievable number.

Is there a way to show how to calculate that?
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markr
 
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Reply Sat 8 Apr, 2006 04:12 pm
I wrote a program. It's the 2c coin that drives the number so high. In the dollar problem, there will always be a multiple of five pennies. However, with a 2c coin that's not the case. Multiples of five can be created in various ways with 1c and 2c.
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