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Home » Master the Lewis Structure of Sulphate Ion – It’s Simpler Than You Think! - Dachbleche24

Master the Lewis Structure of Sulphate Ion – It’s Simpler Than You Think! - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Question:** An ice cream truck offers 8 organic fruit syrups and 5 natural flavors. If a customer chooses 2 syrups and 3 flavors for a custom sundae, how many distinct combinations are possible?

📌 Solution:** We compute the number of ways to choose 2 syrups from 8 and 3 flavors from 5, then multiply the results since the choices are independent.

📌 Number of ways to choose syrups:

📌 Number of ways to choose flavors:

📌 \binom{5}{3} = \binom{5}{2} = \frac{5 \times 4}{2 \times 1} = 10 \quad \text{(since } \binom{n}{k} = \binom{n}{n-k} \text{)}

📌 Total combinations:

📌 \times 10 = 280

📌 Therefore, the total number of distinct sundaes is \(\boxed{280}\).

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