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Home » Divide both sides by $ rac163 $: - Parker Core Knowledge

Divide both sides by $ rac163 $: - Parker Core Knowledge

📅 May 3, 2026 👤 scraface

May 03, 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 red, one green, and one blue** bird.

📌 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 3 = 210

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