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Home » #### \(\frac125, \frac25\) - Aurero

#### \(\frac125, \frac25\) - Aurero

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 \times 2 = 40320

📌 \times 1 = 40320

📌 Thus, the number of ways to label the 8 bird species is \(\boxed{40320}\).

📌 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:

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