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Home » Unlock Total Precision: The Ultimate Guide to Trundle Counters Explained! - ClickBalance

Unlock Total Precision: The Ultimate Guide to Trundle Counters Explained! - ClickBalance

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 Within the block, the 3 public health officials can be arranged among themselves in $ 3! = 6 $ ways.

📌 Thus, the total number of arrangements is:

📌 \times 6 = 720

📌 \boxed{720}

📌 Question: A palynologist has 5 red pollen grains, 3 green pollen grains, and 2 blue pollen grains. If she randomly selects 6 grains from the bag without replacement, what is the probability that exactly 2 red, 2 green, and 2 blue grains are selected?

📌 We begin by computing the total number of ways to choose 6 grains from the total of $ 5 + 3 + 2 = 10 $ grains:

📌 \binom{10}{6} = 210

📌 Next, we compute the number of favorable outcomes: selecting exactly 2 red, 2 green, and 2 blue grains. Since there are 5 red grains, 3 green, and 2 blue, the number of favorable combinations is:

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