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Home » Parking for Game: How to Score a Spot in 60 Seconds (No Searching Fails!) - Redraw

Parking for Game: How to Score a Spot in 60 Seconds (No Searching Fails!) - Redraw

📅 May 7, 2026 👤 scraface

May 07, 2026

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📌 \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:

📌 \binom{16}{4} = \frac{16 \times 15 \times 14 \times 13}{4 \times 3 \times 2 \times 1} = 1820

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