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Home » Check $ 28^2 = 784 < 1000 $, and $ 35^2 = 1225 > 1000 $. - go-checkin.com

Check $ 28^2 = 784 < 1000 $, and $ 35^2 = 1225 > 1000 $. - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 By inclusion-exclusion, the number of outcomes missing at least one species is:

📌 \binom{3}{1} \cdot 2^4 - \binom{3}{2} \cdot 1^4 + 0 = 3 \cdot 16 - 3 \cdot 1 = 48 - 3 = 45

📌 Thus, the number of favorable outcomes (all species present) is:

📌 The probability is:

📌 \frac{36}{81} = \frac{4}{9}

📌 \boxed{\dfrac{4}{9}}

📌 How many 6-digit positive integers consist only of the digits 1 and 2, and contain at least two consecutive 1s?

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