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Home » Unlock the Magic: The Ultimate Glinda the Good Witch Costume You’ll Love! - Appcentric

Unlock the Magic: The Ultimate Glinda the Good Witch Costume You’ll Love! - Appcentric

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 e b$. There are $inom{101}{2}$ ways to choose the pair.

📌 Step 2: For each such pair, how many ways can the three integers be assigned to $a$ and $b$ such that both appear at least once?

📌 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} $?

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