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\( w = 10 \) - AdVision eCommerce

📅 May 2, 2026 👤 scraface

May 02, 2026

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### Step 1: Total number of ways to choose 4 birds from 15:
\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...

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