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Here are all the cases. There are 55.

(pennies, nickels, dimes, quarters, 50 cent, dollar)

Stella Joan

(0,0,0,0,0,5)=500 (0,0,5,4,0,1)=250
(0,0,0,0,1,4)=450 (0,3,1,4,2,0)=225
(0,0,0,0,1,4)=450 (0,5,0,4,0,1)=225
(0,0,0,0,2,3)=400 (0,0,5,4,1,0)=200
(0,0,0,0,3,2)=350 (0,5,0,4,1,0)=175
(0,0,0,0,4,1)=300 (0,2,4,4,0,0)=150
(0,0,0,2,0,3)=350 (5,0,2,2,0,1)=175
(0,0,0,2,1,2)=300 (0,4,3,2,1,0)=150
(0,0,0,2,2,1)=250 (0,1,7,2,0,0)=125
(0,0,0,2,2,1)=250 (5,0,2,2,1,0)=125
(0,0,0,2,3,0)=200 (0,6,2,2,0,0)=100
(0,0,0,4,0,1)=200 (0,0,10,0,0,0)=100
(0,0,0,4,0,1)=200 (0,8,1,0,1,0)=100
(0,0,0,4,1,0)=150 (0,5,5,0,0,0)=75
(0,0,0,4,1,0)=150 (5,4,0,0,1,0)=75
(0,0,1,0,0,4)=410 (5,0,0,4,0,1)=205
(0,0,1,0,1,3)=360 (0,4,1,4,1,0)=180
(0,0,1,0,2,2)=310 (0,1,5,4,0,0)=155
(0,0,1,0,2,2)=310 (5,0,0,4,1,0)=155
(0,0,1,0,3,1)=260 (0,6,0,4,0,0)=130
(0,0,1,2,0,2)=260 (0,0,8,2,0,0)=130
(0,0,1,2,1,1)=210 (0,5,3,2,0,0)=105
(0,0,1,2,2,0)=160 (5,1,2,2,0,0)=80
(0,0,1,4,0,0)=110 (0,9,1,0,0,0)=55
(0,0,1,4,0,0)=110 (5,0,5,0,0,0)=55
(0,0,2,0,0,3)=320 (0,0,6,4,0,0)=160
(0,0,2,0,1,2)=270 (0,5,1,4,0,0)=135
(0,0,2,0,2,1)=220 (5,1,0,4,0,0)=110
(0,0,2,2,0,1)=170 (5,0,3,2,0,0)=85
(0,0,3,0,0,2)=230 (5,0,1,4,0,0)=115
(0,1,0,1,0,3)=330 (0,4,2,3,1,0)=165
(0,1,0,1,1,2)=280 (0,1,6,3,0,0)=140
(0,1,0,1,1,2)=280 (5,0,1,3,1,0)=140
(0,1,0,1,2,1)=230 (0,6,1,3,0,0)=115
(0,1,0,1,3,0)=180 (5,2,0,3,0,0)=90
(0,1,0,3,0,1)=180 (0,5,4,1,0,0)=90
(0,1,0,3,1,0)=130 (5,1,3,1,0,0)=65
(0,1,1,1,0,2)=240 (0,5,2,3,0,0)=120
(0,1,1,1,1,1)=190 (5,1,1,3,0,0)=95
(0,2,0,0,0,3)=310 (0,1,5,4,0,0)=155
(0,2,0,0,0,3)=310 (5,0,0,4,1,0)=155
(0,2,0,0,1,2)=260 (0,6,0,4,0,0)=130
(0,2,0,2,0,1)=160 (5,1,2,2,0,0)=80
(0,2,1,0,0,2)=220 (5,1,0,4,0,0)=110
(1,0,0,1,2,1)=226 (3,1,3,3,0,0)=113
(1,0,0,3,0,1)=176 (3,0,6,1,0,0)=88
(1,0,0,3,1,0)=126 (3,5,1,1,0,0)=63
(1,0,1,1,0,2)=236 (3,0,4,3,0,0)=118
(1,0,1,3,0,0)=86 (8,0,1,1,0,0)=43
(1,1,0,0,1,2)=256 (3,1,2,4,0,0)=128
(1,1,0,2,0,1)=156 (3,5,0,2,0,0)=78
(2,0,0,0,0,3)=302 (1,0,5,4,0,0)=151
(2,0,0,0,1,2)=252 (1,5,0,4,0,0)=126
(2,0,0,2,0,1)=152 (6,0,2,2,0,0)=76
(2,0,1,0,0,2)=212 (6,0,0,4,0,0)=106