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"Shocking Togo Sofa Price Drops—Experience Luxury on a Budget! - Decision Point

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 The ratio of boys to girls in a class is 4:5. If there are 36 students in total, how many boys and how many girls are there?

📌 #### 16 boys, 20 girls### Question 1

📌 A cartographer is creating a map of a fictional archipelago consisting of 5 distinct islands. Each island can be connected to any of the other islands via bridges, and each bridge is either solid (permanent) or temporary. If each pair of islands can have either 0, 1, or 2 bridges (one solid and one temporary), how many distinct bridge configurations are possible for the archipelago?

📌 For each of these 10 pairs, there are 3 possible states regarding the bridges:

📌 One solid bridge and one temporary bridge

📌 Thus, for each island pair, there are 3 choices. Since the choices are independent for each pair, the total number of distinct bridge configurations is:

📌 A pharmacologist is testing combinations of three different drug compounds (A, B, and C) in increasing dosage levels: low (1 unit), medium (2 units), or high (3 units). Each compound must be assigned a dosage, and the total cumulative dosage across all three drugs must be exactly 5 units. How many valid dosage combinations satisfy this constraint, assuming dosage levels are assigned without reordering (i.e., (1,2,2) is distinct from (2,1,2) only if positions matter, but since the drugs are distinct, order matters per drug assignment).

📌 List all unordered partitions and count permutations:

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