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Home » PowerShell foreach Revealed: The Secret Shortcut No IT Pros Want You to Know! - Moon Smoking

PowerShell foreach Revealed: The Secret Shortcut No IT Pros Want You to Know! - Moon Smoking

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 A venture capitalist is evaluating 12 clean technology startups, each working on a unique renewable energy solution. She plans to invest in exactly 4 of them, but wishes to ensure that no two selected startups are in the same environmental category. If there are exactly 4 categories—solar, wind, geothermal, and hydro—and each startup belongs to one category—how many ways can she choose 4 startups, one from each category?

📌 Since each category has exactly 3 startups, and we must pick one from each, the number of valid combinations is:

📌 This counts one startup selected from each category, with no restriction on order (but since we are choosing one per category, each combination is uniquely determined by category selection).

📌 Therefore, the number of ways she can make such an investment is:

📌 A Mars colony module has 8 identical life-support units, each labeled with a unique letter from A to H. To activate the system, a command sequence must consist of 5 units such that no two identical letters are adjacent and exactly two units are repeated (i.e., two letters appear twice, and one other letter appears once). How many valid 5-unit activation sequences are possible?

📌 Choose 2 letters to be repeated (to appear twice):

📌 From the remaining 6 letters, choose 1 to appear once:

📌 Step 2: Count valid arrangements of the multiset with no adjacent duplicates

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