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Home » The Untold Story of Every Smurfette Character – You Need to See This! - Dyverse

The Untold Story of Every Smurfette Character – You Need to See This! - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \binom{8}{3} = \frac{8!}{3!(8-3)!} = \frac{8 \times 7 \times 6}{3 \times 2 \times 1} = 56

📌 The number of ways to choose 1 topping from 5 is:

📌 \binom{5}{1} = 5

📌 Since these choices are independent, the total number of combinations is the product:

📌 \times 5 = 280

📌 Thus, the total number of combinations is $\boxed{280}$

📌 Question: A box contains 7 red marbles and 9 blue marbles. If four marbles are drawn without replacement, what is the probability that exactly two are red?

📌 Solution: We calculate the probability of drawing exactly 2 red marbles and 2 blue marbles from a total of 16 marbles (7 red, 9 blue), without replacement.

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