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how many ways to make a dollar using 4 quarters 6 dimes and 8 nickels?
The answer I got was 13 and I was just looking for confirmation.

 Feb 28, 2024
 #1
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how many ways to make a dollar using 4 quarters 6 dimes and 8 nickels?   
The answer I got was 13 and I was just looking for confirmation.  

 

4 Quarters                                                       1 way  

                     4 quarters  

 

3 Quarters                                                        3 ways  

                     3 quarters, 2 dimes, 1 nickel 

                     3 quarters, 1 dime, 3 nickels 

                     3 quarters, 0 dime, 5 nickels  

 

2 Quarters                                                         5 ways  

                     2 quarters, 5 dimes, 0 nickel  

                     2 quarters, 4 dimes, 2 nickels  

                     2 quarters, 3 dimes, 4 nickels  

                     2 quarters, 2 dimes, 6 nickels  

                     2 quarters, 1 dime, 8 nickels  

 

1 Quarter                                                            3 ways  

                     1 quarter, 6 dimes, 3 nickels  

                     1 quarter, 5 dimes, 5 nickels  

                     1 quarter, 4 dimes, 7 nickels  

 

0 Quarter                                                             1 way  

                     0 quarter, 6 dimes, 8 nickels  

 

                                                           total          13 ways  

 

You found 13 ways.  I can't find a 14th one, 

so it looks like we both got the same answer. 

.

 Feb 29, 2024

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