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Home » Sepang Municipal Council, Planning Department Annual Review (2023). - inBeat

Sepang Municipal Council, Planning Department Annual Review (2023). - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Question:** A health systems analyst in Massachusetts wants to evaluate the effectiveness of 5 different health data platforms. If the analyst chooses 3 platforms to conduct a comparative study, how many different combinations of platforms can be selected?

📌 To find the number of combinations of selecting 3 platforms out of 5, we use the combination formula:

📌 Here, \( n = 5 \) and \( r = 3 \). Substituting these values gives:

📌 \binom{5}{3} = \frac{5!}{3!(5-3)!} = \frac{5!}{3! \cdot 2!}

📌 Calculating the factorials, we have:

📌 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120

📌 3! = 3 \times 2 \times 1 = 6

📌 2! = 2 \times 1 = 2

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