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Home » Thus, $ x^2 = \boxed20 $. - GetMeFoodie

Thus, $ x^2 = \boxed20 $. - GetMeFoodie

📅 April 29, 2026 👤 scraface

Apr 29, 2026

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📌 We consider all possible triples where, after sorting, the second value is 25.

📌 This occurs in the following disjoint cases:

📌 But values are distinct in position, but since were counting ordered triples directly: for each choice of one from $ L $, one from $ M $, one from $ G $, and assign roles (low, med, high):

📌 But wait: we dont require one from each — only that the median is 25.

📌 Let $ N $ = number of ordered triples such that median = 25.

📌 But wait: no. For ordered triples, each permutation is unique. So number of such ordered triples is:

📌 Number of permutations of one value from $ L $, one from $ M $, one from $ G $, assigned to positions: $ 3! = 6 $ for each such triplet of values.

📌 But we fix which value is which type:

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