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Home » You Won’t Believe How Dave Built This Mind-Bending Maze From Scratch! - Leaselab

You Won’t Believe How Dave Built This Mind-Bending Maze From Scratch! - Leaselab

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Question: An ice cream truck sells 8 different flavors of ice cream and offers 5 unique toppings. How many combinations of 3 flavors and 1 topping can a customer choose?

📌 Solution: To determine how many combinations of 3 flavors and 1 topping a customer can choose, we calculate the number of ways to select 3 flavors from 8 and 1 topping from 5.

📌 The number of ways to choose 3 flavors from 8 is given by the combination:

📌 \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

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