#### Case 3: 1 red, 1 green, 2 blue
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- \binom{5}{2} \cdot \binom{7}{1} \cdot \binom{3}{1} = 10 \cdot 7 \cdot 3 = 210
- #### Case 2: 1 red, 2 green, 1 blue
- \binom{5}{1} \cdot \binom{7}{2} \cdot \binom{3}{1} = 5 \cdot 21 \cdot 3 = 315
- \binom{5}{1} \cdot \binom{7}{1} \cdot \binom{3}{2} = 5 \cdot 7 \cdot 3 = 105
- ### Step 3: Total favorable outcomes
- \text{Favorable} = 210 + 315 + 105 = 630
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