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Home » In the samples, the solution ends with the final answer, not an explanation. - Belip

In the samples, the solution ends with the final answer, not an explanation. - Belip

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 An ice cream shop offers 8 flavors of ice cream and 5 types of toppings. How many different combinations can a customer choose if they select 3 flavors and 2 toppings?

📌 First, determine the number of ways to choose 3 flavors from 8 available flavors:

📌 Next, calculate the number of ways to choose 2 toppings from 5 available toppings:

📌 The total number of combinations is the product of these two individual choices:

📌 Thus, the total number of different combinations is:

📌 A biologist observes a group of 9 butterflies, 6 beetles, and 4 ants. If she randomly selects 5 insects, what is the probability that she selects at least 2 butterflies?

📌 Now, compute the number of ways to select at least 2 butterflies. This involves calculating the complementary cases (0 butterflies and 1 butterfly) and subtracting from the total.

📌 The number of ways to select at least 2 butterflies is:

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