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what is the arnold palmer - Anadea

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 \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: \( 4 \times 3 = 12 \).

📌 Number of ways to choose 3 distinct positions: \( \binom{12}{3} = \frac{12 \times 11 \times 10}{6} = 220 \).

📌 Now, favorable outcomes: all 3 positions in different rows.

📌 There are 4 rows, choose 3 distinct rows: \( \binom{4}{3} = 4 \).

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