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Home » "This Cat Muzzle Is SHOCKING—You’ve NEVER Seen a Cat Wearing It Before! - Carbonext

"This Cat Muzzle Is SHOCKING—You’ve NEVER Seen a Cat Wearing It Before! - Carbonext

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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\text{Total ways} = \binom{15}{4} = 1365
### Step 2: Favorable outcomes — at least one of each color
We want the number of 4-bird selections that include **at least one re...
This means the possible color distributions that satisfy this are:
We calculate the number of ways for each:
#### Case 1: 2 red, 1 green, 1 blue
\binom{5}{2} \cdot \binom{7}{1} \cdot \binom{3}{1} = 10 \cdot 7 \cdot...
#### Case 2: 1 red, 2 green, 1 blue
\binom{5}{1} \cdot \binom{7}{2} \cdot \binom{3}{1} = 5 \cdot 21 \cdot...
#### Case 3: 1 red, 1 green, 2 blue

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