In how many different ways can \(2/15\) be represented as 1/a + 1/b + 1/c, if a and b and c are positive integers with a >= b >= c.
1 = (450, 50, 9)
2 = (270, 54, 9)
3 = (180, 60, 9)
4 = (126, 70, 9)
5 = (120, 72, 9)
6 = (90, 90, 9)
7 = (480, 32, 10)
8 = (330, 33, 10)
9 = (255, 34, 10)
10 = (210, 35, 10)
11 = (180, 36, 10)
12 = (130, 39, 10)
13 = (120, 40, 10)
14 = (105, 42, 10)
15 = (90, 45, 10)
16 = (80, 48, 10)
17 = (75, 50, 10)
18 = (66, 55, 10)
19 = (60, 60, 10)
20 = (110, 30, 11)
21 = (420, 21, 12)
22 = (220, 22, 12)
23 = (120, 24, 12)
24 = (100, 25, 12)
25 = (70, 28, 12)
26 = (60, 30, 12)
27 = (45, 36, 12)
28 = (40, 40, 12)
29 = (156, 20, 13)
30 = (84, 20, 14)
31 = (70, 21, 14)
32 = (35, 30, 14)
33 = (240, 16, 15)
34 = (90, 18, 15)
35 = (60, 20, 15)
36 = (40, 24, 15)
37 = (30, 30, 15)
38 = (120, 16, 16)
39 = (48, 20, 16)
40 = (45, 18, 18)
41 = (36, 20, 18)
42 = (30, 20, 20)
43 = (28, 21, 20)
44 = (24, 24, 20)
