Cents Nickels

How many different ways can you make change for 75 cents using quarters, dimes, and nickels?
25q + 10d + 5n = 75, where q, d, and n are integers.
(q, d, n):
(3, 0, 0)
(2, 2, 1)
(2, 1, 3)
(2, 0, 5)
(1, 5, 0)
(1, 4, 2)
(1, 3, 4)
(1, 2, 6)
(1, 1, ![]()
(1, 0, 10)
(0, 7, 1)
(0, 6, 3)
(0, 5, 5)
(0, 4, 7)
(0, 3, 9)
(0, 2, 11)
(0, 1, 13)
(0, 0, 15)
18 ways.
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