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how to get discord on xbox - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 The total assignments: $2^3 = 8$, but subtract the 2 cases where all are $a$ or all are $b$. So $8 - 2 = 6$ valid binary strings with both values present.

📌 Thus, number of favorable outcomes:

📌 inom{101}{2} \cdot 6 = rac{101 \cdot 100}{2} \cdot 6 = 5050 \cdot 6 = 30300

📌 Total outcomes: $101^3 = 1030301$

📌 rac{30300}{1030301}

📌 This fraction is already in simplest form (checking gcd == 1 via approximation or algorithm), so the final answer is $oxed{\dfrac{30300}{1030301}}$.Question: If $ x + rac{1}{x} = 3 $, what is the value of $ x^4 + rac{1}{x^4} $?

📌 Solution: We are given that $ x + rac{1}{x} = 3 $. To find $ x^4 + rac{1}{x^4} $, we proceed step by step.

📌 First, square both sides of the given equation:

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