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Home » A sphere has a diameter of 10 cm. Find its surface area. - GetMeFoodie

A sphere has a diameter of 10 cm. Find its surface area. - GetMeFoodie

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 For the remaining 11 recordings, each must be either Hot or Cool, giving 2 choices per recording. Thus, the number of favorable outcomes is:

📌 The probability of recording Warm exactly once is then:

📌 A theoretical physicist mentors students in analyzing quantum states. He considers 5 distinct quantum states and wants to demonstrate configurations where exactly 3 states remain unchanged among 2 identical particles. How many such configurations exist?

📌 We need to determine the number of ways to select 3 states out of 5 to remain unchanged, and then distribute the 2 particles among these states such that the particles occupy exactly 1 of the 3 unchanged states (since they must be identical and indistinguishable).

📌 First, choose 3 states from the 5 to stay unchanged:

📌 For the 2 identical particles, they must be placed in one of the 3 selected unchanged states. Since particles are identical, there is exactly 1 way to assign both particles to the same state (and only one of the 3 states is chosen).

📌 Therefore, the total number of configurations is:

📌 Hence, the number of valid configurations is:

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