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In how many ways can 45 cents be made using any combination of quarters, dimes, nickels, and pennies?

 Nov 13, 2021
 #1
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        p     n   d   q

1  = (25, 4, 0, 0)
2  = (20, 5, 0, 0)
3  = (15, 6, 0, 0)
4  = (10, 7, 0, 0)
5  = (5, 8, 0, 0)
6  = (0, 9, 0, 0)
7  = (25, 2, 1, 0)
8  = (20, 3, 1, 0)
9  = (15, 4, 1, 0)
10  = (10, 5, 1, 0)
11  = (5, 6, 1, 0)
12  = (0, 7, 1, 0)
13  = (25, 0, 2, 0)
14  = (20, 1, 2, 0)
15  = (15, 2, 2, 0)
16  = (10, 3, 2, 0)
17  = (5, 4, 2, 0)
18  = (0, 5, 2, 0)
19  = (15, 0, 3, 0)
20  = (10, 1, 3, 0)
21  = (5, 2, 3, 0)
22  = (0, 3, 3, 0)
23  = (5, 0, 4, 0)
24  = (0, 1, 4, 0)
25  = (20, 0, 0, 1)
26  = (15, 1, 0, 1)
27  = (10, 2, 0, 1)
28  = (5, 3, 0, 1)
29  = (0, 4, 0, 1)
30  = (10, 0, 1, 1)
31  = (5, 1, 1, 1)
32  = (0, 2, 1, 1)
33  = (0, 0, 2, 1)

 Nov 13, 2021

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