+0

# Counting

0
104
1

Using pennies, nickels, dimes, and quarters. How any ways does it take you to make 69 cents?

Jan 1, 2022

#1
0

n         p   n  d  q

1  = (69, 0, 0, 0)
2  = (64, 1, 0, 0)
3  = (59, 2, 0, 0)
4  = (54, 3, 0, 0)
5  = (49, 4, 0, 0)
6  = (44, 5, 0, 0)
7  = (39, 6, 0, 0)
8  = (34, 7, 0, 0)
9  = (29, 8, 0, 0)
10  = (24, 9, 0, 0)
11  = (19, 10, 0, 0)
12  = (14, 11, 0, 0)
13  = (9, 12, 0, 0)
14  = (4, 13, 0, 0)
15  = (59, 0, 1, 0)
16  = (54, 1, 1, 0)
17  = (49, 2, 1, 0)
18  = (44, 3, 1, 0)
19  = (39, 4, 1, 0)
20  = (34, 5, 1, 0)
21  = (29, 6, 1, 0)
22  = (24, 7, 1, 0)
23  = (19, 8, 1, 0)
24  = (14, 9, 1, 0)
25  = (9, 10, 1, 0)
26  = (4, 11, 1, 0)
27  = (49, 0, 2, 0)
28  = (44, 1, 2, 0)
29  = (39, 2, 2, 0)
30  = (34, 3, 2, 0)
31  = (29, 4, 2, 0)
32  = (24, 5, 2, 0)
33  = (19, 6, 2, 0)
34  = (14, 7, 2, 0)
35  = (9, 8, 2, 0)
36  = (4, 9, 2, 0)
37  = (39, 0, 3, 0)
38  = (34, 1, 3, 0)
39  = (29, 2, 3, 0)
40  = (24, 3, 3, 0)
41  = (19, 4, 3, 0)
42  = (14, 5, 3, 0)
43  = (9, 6, 3, 0)
44  = (4, 7, 3, 0)
45  = (29, 0, 4, 0)
46  = (24, 1, 4, 0)
47  = (19, 2, 4, 0)
48  = (14, 3, 4, 0)
49  = (9, 4, 4, 0)
50  = (4, 5, 4, 0)
51  = (19, 0, 5, 0)
52  = (14, 1, 5, 0)
53  = (9, 2, 5, 0)
54  = (4, 3, 5, 0)
55  = (9, 0, 6, 0)
56  = (4, 1, 6, 0)
57  = (44, 0, 0, 1)
58  = (39, 1, 0, 1)
59  = (34, 2, 0, 1)
60  = (29, 3, 0, 1)
61  = (24, 4, 0, 1)
62  = (19, 5, 0, 1)
63  = (14, 6, 0, 1)
64  = (9, 7, 0, 1)
65  = (4, 8, 0, 1)
66  = (34, 0, 1, 1)
67  = (29, 1, 1, 1)
68  = (24, 2, 1, 1)
69  = (19, 3, 1, 1)
70  = (14, 4, 1, 1)
71  = (9, 5, 1, 1)
72  = (4, 6, 1, 1)
73  = (24, 0, 2, 1)
74  = (19, 1, 2, 1)
75  = (14, 2, 2, 1)
76  = (9, 3, 2, 1)
77  = (4, 4, 2, 1)
78  = (14, 0, 3, 1)
79  = (9, 1, 3, 1)
80  = (4, 2, 3, 1)
81  = (4, 0, 4, 1)
82  = (19, 0, 0, 2)
83  = (14, 1, 0, 2)
84  = (9, 2, 0, 2)
85  = (4, 3, 0, 2)
86  = (9, 0, 1, 2)
87  = (4, 1, 1, 2)

There are 87 ways of making a change for 69 cents.

Jan 1, 2022