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Home » Let \( v = \sqrtu \), so \( u = v^2 \). Substitute: - go-checkin.com

Let \( v = \sqrtu \), so \( u = v^2 \). Substitute: - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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.

📌 The total number of ways to choose 4 marbles from 16 is:

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