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Home » "Unlock Hidden Features: How to Maximize Your Gaming on Googl Play PC! - Parker Core Knowledge

"Unlock Hidden Features: How to Maximize Your Gaming on Googl Play PC! - Parker Core Knowledge

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Total number of possible selections:

📌 Since there are 3 areas and we choose 4 firms, the only way to include all three areas is to have one of the following distributions:

📌 $ (2,1,1) $: two from one area, one each from the other two

📌 So only valid composition is permutations of $ (2,1,1) $. We compute for each case.

📌 So the probability that at least one firm from each area is included is:

📌 Question: A science fair judge must assign 6 identical ribbons (gold, silver, and bronze — with 2 gold, 2 silver, and 2 bronze) to 6 winning projects, each receiving exactly one ribbon. If the ribbons of the same type are indistinguishable, how many distinct ways can the ribbons be distributed?

📌 Since the ribbons of the same type are indistinguishable, and each project gets one ribbon, this is equivalent to counting the number of distinct sequences of 6 ribbons with multiplicities: 2 G, 2 S, 2 B.

📌 Each sequence corresponds to a unique way to assign ribbon types to the positions (projects), and since the projects are distinguishable but ribbons of the same type are not, this count is valid.

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