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Home » XML Comment Syntax Tricks That Everyone Uses (And Youre Missing!) - RTA

XML Comment Syntax Tricks That Everyone Uses (And Youre Missing!) - RTA

📅 May 9, 2026 👤 scraface

May 09, 2026

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📌 This is a classic problem related to Fibonacci numbers. Let $ a_n $ be the number of valid binary strings of length $ n $ with no two adjacent 1s.

📌 Question: A paleontologist in Patagonia discovers a set of 8 fossilized bones, 3 of which are from a Tyrannosaurus rex and 5 from a Triceratops. If she randomly selects 4 bones for detailed analysis, what is the probability that exactly 2 of the selected bones are from the Tyrannosaurus rex?

📌 Solution: To find the desired probability, we compute the number of favorable outcomes over the total number of outcomes.

📌 Total ways to choose 4 bones from 8:

📌 Ways to choose exactly 2 Tyrannosaurus rex bones (from 3) and 2 Triceratops bones (from 5):

📌 Question: A linguist is comparing 6 different dialects and wants to select 3 for in-depth syntactic comparison. If two of the dialects are closely related and cannot both be selected, how many valid sets of 3 dialects can be chosen?

📌 Solution: First, compute the total number of ways to choose 3 dialects from 6:

📌 Now subtract the number of sets that include both of the closely related dialects. If both are included, we must choose 1 more dialect from the remaining 4:

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