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Home » Solution: We are given that $ g(x) $ is a cubic polynomial: - AssociationVoting

Solution: We are given that $ g(x) $ is a cubic polynomial: - AssociationVoting

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 Question: Three prime numbers less than 50 are selected. What is the probability their sum is even?

📌 Question: An ice cream shop offers 8 flavors and 5 toppings. How many ways to choose 3 flavors and 2 toppings?

📌 Solution: To solve this, we begin by identifying the total number of ways to choose 4 stations from the 10 available, which is given by the combination:

📌 Next, we calculate the number of favorable outcomes—specifically, the number of ways to choose exactly 2 stations from the specific region (which contains 3 stations) and the remaining 2 stations from the other 7 stations:

📌 Thus, the probability that exactly 2 of the selected stations are from the specific region is:

📌 Question: A linguist is studying the evolution of word combinations in ancient texts. If she randomly selects 5 words from a set of 10, where 4 are considered archaic and 6 are modern, what is the probability that exactly 3 of the selected words are archaic?

📌 Solution: We begin by computing the total number of ways to select 5 words from the 10:

📌 Next, we calculate the number of favorable outcomes—choosing exactly 3 archaic words from the 4 available and 2 modern words from the 6:

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