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hampton inn & suites chicago north shore skokie skokie il - Parker Core Knowledge

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 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

📌 #### 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

📌 #### Case 3: 1 red, 1 green, 2 blue

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