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Home » \( F_10 = 55 \) - go-checkin.com

\( F_10 = 55 \) - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Let d = days for 5 workers → 5 × d = 80 → d = 80 / 5 = 16

📌 #### 16**Question:

📌 A science policy analyst is reviewing the distribution of grants for three categories of projects: renewable energy, AI research, and public health. There are 5 grants for renewable energy, 7 for AI research, and 3 for public health. If a committee randomly selects 3 grants to review, what is the probability that exactly 2 are for AI research and 1 is for public health?

📌 To solve this problem, we need to calculate the probability of selecting exactly 2 AI research grants and 1 public health grant out of the total grants.

📌 First, calculate the total number of grants:

📌 \[ 5 + 7 + 3 = 15 \]

📌 Next, calculate the number of ways to choose 2 AI research grants from 7:

📌 \[ \binom{7}{2} = \frac{7 \times 6}{2 \times 1} = 21 \]

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