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Home » Standard Door Measurement 101: Why Every Home needs the Right Size Today! - SUpost

Standard Door Measurement 101: Why Every Home needs the Right Size Today! - SUpost

📅 July 6, 2026 👤 scraface

Jul 06, 2026

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📌 To solve this problem, we use combinations to determine the number of ways to draw marbles with the specified conditions.

📌 Total ways to draw 4 marbles from 15:

📌 The total number of ways to draw 4 marbles from a bag containing 7 red and 8 blue marbles is given by:

📌 \binom{15}{4} = \frac{15 \times 14 \times 13 \times 12}{4 \times 3 \times 2 \times 1} = 1365

📌 Ways to draw exactly 2 red marbles:

📌 We choose 2 red marbles from the 7 available:

📌 \binom{7}{2} = \frac{7 \times 6}{2 \times 1} = 21

📌 We also choose 2 blue marbles from the 8 available:

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