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Home » \( r \) 是半径，给定为 10 cm。 - go-checkin.com

\( r \) 是半径，给定为 10 cm。 - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 An angel investor is forming advisory panels by selecting 2 biotech specialists and 2 data scientists from a group of 5 specialists and 6 scientists. How many distinct panels can be formed?

📌 We compute the number of ways to choose 2 specialists from 5 and 2 scientists from 6, then multiply:

📌 \binom{5}{2} = \frac{5!}{2!3!} = \frac{5 \times 4}{2} = 10

📌 \binom{6}{2} = \frac{6!}{2!4!} = \frac{6 \times 5}{2} = 15

📌 \text{Total panels} = 10 \times 15 = 150

📌 So, 150 distinct panels can be formed.

📌 An urban forestry researcher photographs trees in a grid of 4 rows and 3 columns. If she selects 3 non-overlapping 1×1 grids (positions) at random, what is the probability that all 3 are in different rows?

📌 Total number of 1×1 grid positions: \( 4 \times 3 = 12 \).

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